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.

Question

3 years ago

10

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

1 answer:

Nikitich [7] · Answer 1 · 2021-11-23T00:36:17+03:00

Answer:

The larger number is 15.

Step-by-step 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)