25% of a number is 7 more than 30% of another number. The difference between the numbers is 29. What are the numbers?

Correct option is C

Given:

0.25x = 0.30y + 7
x - y = 29

Solution:
Let the first number =x

Let the second number =y.

25% of the first number is 7 more than 30% of the second number:
0.25x = 0.30y + 7

The difference between the two numbers is 29:
x - y = 29
x = y + 29
Substitute x = y + 29 into the first equation
0.25(y + 29) = 0.30y + 7
0.25y + 7.25 = 0.30y + 7
0.25y - 0.30y = 7 - 7.25
-0.05y = -0.25
y = $$\frac{-0.25}{-0.05}$$​ = 5
Thus, the second number is y = 5.
Substitute y = 5into the equation x = y + 29:
x = 5 + 29 = 34
The two numbers are:34,5.