The sum of 2 numbers is 60. The larger number is thrice the smaller

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The sum of 2 numbers is 60. The larger number is thrice the smaller.

Let the 2 numbers be x and y, where x is the smaller number and y is the larger number. We are given:

1. x + y = 60
2. y = 3x

Substitute (2) into (1):
x + (3x) = 60

Combine like terms:
4x = 60

Type 4x = 60 into our search engine, and you get x = 15.

Substituting x = 15 into Equation (2) above, we get:
y = 3(15)
y = 45

Check our work in Equation (1):
15 + 45 ? 60
60 = 60

Check our work in Equation (2):
45 ? 15(3)
45 = 45

The numbers check out, so our answer is (x, y) = (15, 45)