## 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

Question

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## Answers ( )

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)