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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