Question

The difference of two numbers is 22. the larger is 2 more than 3 times the smaller. find the two numbers.

Answer 1

we call : a, b - the numbers

a - b = 22

a = 3b + 2

3b + 2 - b = 22

2b + 2 = 22

2b = 22 - 2 

2b = 20                           a = 3b + 2
 
b = 20 : 2                        a = 3×10 + 2

b = 10                             a = 32

Answer 2

a - b = 22
a = 3b + 2

(3b+2)-b=22
3b-b=22-2
2b=20
b=10
a=3·10+2
a=32