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?

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

Step-by-step 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.

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