yes, seems correct.
whoever thought this question up needs to be shot.
if must give tedious question, at least make sure that you only have one answer, tsk.
My answer K = 3
using logic K + K = H, H <=9 thus K can only be 1-4
so if K = 1, then H = 2 11A2 + 2JED = 2F1G
since 1 and 2 is taken, the rest of the letters = 3,4,5,6,7,8,9,0
using the additional of the second digit 'A' and 'E' A+E = 1 or 11 there for A,E = 5,6/4,7,3/8 (combination to form 11)
if we choose A, E as 5, 6 then the 1st digit 2 + D must be less than 10 else the 2nd digit is not true, thus if we sub D as 7 then 2 + 7 = G = 9
now left with 4,3,8,0
3rd digit K + J = F, since 2nd digit A+E we set as 11 therefore the 3rd digit will have a carry over, become 1+1+J = F === 2+J = F (F = 3/4/8/0) F cannot = 3 cause J is not 1, F cannot = 4 cause J is not 2 (K = 1 and H = 2) leaving 8 and 0 but 2 + J = F cannot have a carry over thus F cannot be 8 as A, E is 5, 6 and 0 is out
there for K = 1 is not possible, continue with K = 2 and H = 4, bah bah bah
when u get to K = 3 33A6 + 6JED = 6F3G
Numbers left = 1,2,4,5,6,7,8,9,0
same method start with A, E A + E = 13 (combination for A, E = 4,9/5,8/6,7)
set A, E as 4, 9 then your 3rd digit must be 1+3+J = F (F must be <9 so that there is no carry over) let J = 1 your 3d digit 1+3+1 = F (F=5)
so far numbers left are ( 2,7,8,0 )
last set of digits 6 + D = G (G < 10) thus 6 + D(D=2) = G(G=8)
numbers left ( 7,0 )
My answer K = 3
using logic K + K = H, H <=9 thus K can only be 1-4
so if K = 1, then H = 2 11A2 + 2JED = 2F1G
since 1 and 2 is taken, the rest of the letters = 3,4,5,6,7,8,9,0
using the additional of the second digit 'A' and 'E' A+E = 1 or 11 there for A,E = 5,6/4,7,3/8 (combination to form 11)
if we choose A, E as 5, 6 then the 1st digit 2 + D must be less than 10 else the 2nd digit is not true, thus if we sub D as 7 then 2 + 7 = G = 9
now left with 4,3,8,0
3rd digit K + J = F, since 2nd digit A+E we set as 11 therefore the 3rd digit will have a carry over, become 1+1+J = F === 2+J = F (F = 3/4/8/0) F cannot = 3 cause J is not 1, F cannot = 4 cause J is not 2 (K = 1 and H = 2) leaving 8 and 0 but 2 + J = F cannot have a carry over thus F cannot be 8 as A, E is 5, 6 and 0 is out
there for K = 1 is not possible, continue with K = 2 and H = 4, bah bah bah
when u get to K = 3 33A6 + 6JED = 6F3G
Numbers left = 1,2,4,5,6,7,8,9,0
same method start with A, E A + E = 13 (combination for A, E = 4,9/5,8/6,7)
set A, E as 4, 9 then your 3rd digit must be 1+3+J = F (F must be <9 so that there is no carry over) let J = 1 your 3d digit 1+3+1 = F (F=5)
so far numbers left are ( 2,7,8,0 )
last set of digits 6 + D = G (G < 10) thus 6 + D(D=2) = G(G=8)
numbers left ( 7,0 )
Eh, we already shown in previous posts that K=1,2,3 are all possible.
Eh, we already shown in previous posts that K=1,2,3 are all possible.
hey hey.... another solution: K=4!
4469
4572 +
-----
9041
-----
:bsmilie:
what a joke question!!!!
Its not primary 4... K=1-4... They havent learn inequality in the first place... There's prob missing info? Primary school i did a lot of guess&check. Bloody time consuming. Lol
Nah I don't think you really need knowledge of inequalities...just have to think in that way, which isn't too hard without knowing about inequalities. It's just some logic.
Yeah, truemust prove all can work is not easy. especially when all the remaining variables have no links
I'm not sure how many pri 4 students can think like that under exam conditions though. As for thinking out of the box...well, in my opinion, it's just a regression in the thought process where you resort to experimenting with random numbers (with a bit of logic) when you are unable to think of a suitable mathematical method to solve the problem. It's logic, it's not much math. But maybe that's just me.good thinking question, a trick question that filter out the best student from the good student
its like most student who complete the test can only get 90++ but never 100 unless he/she figure out the trick. proving that the student is a thinking out of the box.
hey hey.... another solution: K=4!
4469
4572 +
-----
9041
-----
:bsmilie:
what a joke question!!!!
should have joined the Maths Club and not Photo Club while in school :bsmilie:
whats the answer?
K K A H
K J E D +
----------
H F K G
----------
What is K ? (0 to 9)
Googled, youtubed and personal workings without success ;(
Yeah, true
I'm not sure how many pri 4 students can think like that under exam conditions though. As for thinking out of the box...well, in my opinion, it's just a regression in the thought process where you resort to experimenting with random numbers (with a bit of logic) when you are unable to think of a suitable mathematical method to solve the problem. It's logic, it's not much math. But maybe that's just me.
My answer K = 3
using logic K + K = H, H <=9 thus K can only be 1-4
so if K = 1, then H = 2 11A2 + 2JED = 2F1G
since 1 and 2 is taken, the rest of the letters = 3,4,5,6,7,8,9,0
using the additional of the second digit 'A' and 'E' A+E = 1 or 11 there for A,E = 5,6/4,7,3/8 (combination to form 11)
if we choose A, E as 5, 6 then the 1st digit 2 + D must be less than 10 else the 2nd digit is not true, thus if we sub D as 7 then 2 + 7 = G = 9
now left with 4,3,8,0
3rd digit K + J = F, since 2nd digit A+E we set as 11 therefore the 3rd digit will have a carry over, become 1+1+J = F === 2+J = F (F = 3/4/8/0) F cannot = 3 cause J is not 1, F cannot = 4 cause J is not 2 (K = 1 and H = 2) leaving 8 and 0 but 2 + J = F cannot have a carry over thus F cannot be 8 as A, E is 5, 6 and 0 is out
there for K = 1 is not possible, continue with K = 2 and H = 4, bah bah bah
when u get to K = 3 33A6 + 6JED = 6F3G
Numbers left = 1,2,4,5,6,7,8,9,0
same method start with A, E A + E = 13 (combination for A, E = 4,9/5,8/6,7)
set A, E as 4, 9 then your 3rd digit must be 1+3+J = F (F must be <9 so that there is no carry over) let J = 1 your 3d digit 1+3+1 = F (F=5)
so far numbers left are ( 2,7,8,0 )
last set of digits 6 + D = G (G < 10) thus 6 + D(D=2) = G(G=8)
numbers left ( 7,0 )
Haha here is another possible answer where K=4:
4479
4562
9041
Similar to what you have.