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 2 numbers are 56 and 23
Explanation:
56+23=79
56X3=168
23X5=115
168+115=283

Answer 2

The two numbers are 23 and 56

Explanation:

Let's say the two numbers are A and B.

We are told:

1) A+B=79

2) 3A+5B=283

Let's take the first expression and solve for A:

A+B=79

A=79-B

Now use this value of A in the second expression:

3A+5B=283

3(79-B)+5B=283

237-3B+5B=283

2B = 46

B = 23

Since B=23, we know from 1) that

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