Question

In a twoi digit number, the digit at tens place is 7 and the sum of the digit is 8 timed the digit at units palce. then the number is .

Answer 1

If it the sum of the digits is seven, it could only be one of the following 2-digit numbers:

16

25

34

43

52

61

70

Now, out of these, which ones have a 10’s place that is “25% less” than the 1’s place? That means that it is 1/4 less, which is another way of saying it is 3/4 of the 1’s place.

This means it must be smaller than the 1’s place. So numbers 43-70 don't qualify, leaving us with the following candidates:

16

25

34

1 is 1/6, not 3/4, of 6. 2 is 2/5, not 3/4, of 5. But 3 is 3/4 of 4. So the answer is 34.

Tl;dr: 34.

hope it helps