One number is five more than three times another. If their difference is 35, what is the larger number?

15

50

65

Let x and y be the two unknown numbers. If one number, say x, is 5 more than 3 times another, say y, the equation would be

x = 5 + 3y

When their difference is 35, x-y = 35, since x is the much larger number here. We substitute x to solve for the smaller number, y.

x - y = 35

(5 + 3y) - y = 35

5 + 2y = 35

2y = 35-5

2y = 30

y = 15

The larger number x would be

x = 5 + 3 (15)

x = 50

The answer is 50.