Question

Three different numbers written on cards are placed side by side. The first and the second add up to 15. The second and third add up to 17. No card is a 7, or is higher than 9.

Write down the 3 numbers in order.

Answer 1

698

xyz
x+y=15
y+z=17
x,y,z<=9, and not equal to 7
yz=98 then x=6, it can't be 89 because x cant be equal to 7.
This gives us the only option of 698

Answer 2

since the sum of last two digits is 17, they 8 & 9.
Now, the sum of first two digits is given as 15, hence the first number could be 7 or 6.
However, No. 7 is not a part of the 3-digit number. Therefore, the first digit is 6, the second digit is 9 and the third digit is 8.
Hence the answer is 698.