Question

The sum of a number and two times a smaller number is 98. The bigger number is 22 less than three times the smaller number.

What are the two numbers?

Answer 1

The smaller number is 24 and the larger number is 50.

Explanation:

b>a

b=3a-22, b+2a=98, using b from the left in the right:

3a-22+2a=98

5a-22=98

5a=120

a=24, and since b=3a-22,

b=50

So the smaller number is 24 and the larger number is 50.