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.

Answer 1

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.

Answer 2

X and y
y is smaller

sum of a number and 2 times a smaler is 98
x+2y=98

bigger is 22 less than 3 times smaller
x=-22+3y

sub -22+3y for x in first equation

-22+3y+2y=98
-22+5y=98
add 22 to both sides
5y=120
divide both sides by 5
y=24

sub back
x=-22+3y
x=-22+3(24)
x=-22+72
x=50

the numbers are 24 and 50