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the difference between two numbers is 28. the larger number is four more than thrice the smaller. what are the numbers?

Sagot :

x - y = 28
-y = -x + 28
(-y = -x + 28) (-1)
y = x - 28

Larger number: x
Smaller number: x - 28 

Equation:
x = 4 + 3 (x-28)
x = 4 + 3x - 84
x = 3x - 80
3x - x = 80
2x = 40
2x/2 = 80/2
x = 40

The numbers are:
Larger number: x = 40
Smaller number: x-28 ⇒ 40-28 = 12

The larger number is 40 and the smaller number is 12.

Check:
40 - 12 = 28
28 = 28