Question

Number is three times the other .
their sum is 20 find the number

Answer 1

The sum of two numbers is 20. So first off, there are two numbers, call them x and y. And,

x + y = 20.

One of the numbers is three times the other. Let’s make y the larger of the two numbers. Then,

y = 3x

The problem asks for the product of these two numbers:

Product = x(y) = x(3x) = 3(x^2).

Substitute 3x for y in the first equation:

x + y = 20 leads to x + 3x = 20 leads to 4x = 20 leads to x = 5. (And so y =15.)

Finally, 3(5)^2 = 3(25) = 75.

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