# The sum of two numbers is 72, and one of them is 3 times the other. Find these numbers.

September 29, 2021 | education

| Let the smaller number be equal to X, and the larger number equal to Y.

Let us compose, from the condition, a system of two equations and solve it.

X + Y = 72;

Y = 3 * X;

Substitute Y = 3 * X in the first equation and find the value of the smaller number.

X + 3 * X = 72;

4 * X = 72;

X = 72/4;

X = 18;

Substitute the X value in the second equation.

Y = 3 * 18 = 54.

Answer: The smaller number is 18, the larger number is 54.

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