Question

The sum of two numbers is 22. Three times one number increased by five is the same as twice the other number decreased by four. What is the LARGER

of the two numbers?
A. 16
B. 7
C. 11
D. 15

Answer 1

The larger number is 15.

Explanation:

Let the numbers be x and y.

Given x + y = 22

3x+ 5 = 2y - 4 → 3x - 2y = -9

Now solving the above two equations we get,

3x + 3y = 66

3x - 2y = -9

Subtracting, 5y = 75 → y = 15; x = 7

The larger number is 15. (D)