Question

The sum of two numbers is 79. Three times the first number added to 5 times the second number is 283. What are the two numbers?

Answer 1

The two numbers are 56 and 23.

Explanation:

Let the two numbers be A and B.

We are told that:

A+B = 79, and

2) 3A + 5B = 283

Rearrange the first expression to isolate A:

A = 79-B

Now use this value of B in the second expression:

3A + 5B = 283

3(79-B) + 5B = 283

237-3B + 5B = 283

2B = 46

B = 23

If B=23, we can find A from (1):

A+B = 79

A+23 = 79

A = 56

CHECK:

Does A+B = 79?

56 + 23 = 79? YES

Does 3A + 5B = 283?

3(56) + 5(23) = 283?

168 + 115 = 283? YES