the difference between two numbers is 15. if 8 is added to 2 times the greater number, the result is 4 less than 3 times the lesser number

Answer 1

a - b = 15

2a + 8 = 3b - 4

a = b + 15

2(b + 15) + 8 = 3b - 4

2b + 30 + 8 = 3b - 4

b = 42

a = 42 + 15

a = 57

Let's check.

57 - 42 = 15

15 = 15

0 = 0

2(57) + 8 = 3(42) - 4

114 + 8 = 126 - 4

122 = 122

0 = 0

Boom.