Question

The sum of two numbers is 15. When one of those numbers is added to three times the other, the result is 27. What are the numbers?

Answer 1

Given :-

Sum of two numbers = 15

Result which one of those numbers is added to three times the other = 27

To Find :-

The first number.

The second number.

Analysis :-

Take the two numbers as variables and make an equation accordingly.

Solve the equation to get the value of the variable and apply it in the numbers given.

Solution :-

The the first and the second number be x and 15-x respectively.

According to the question,

$\sf 27=15-x+3x$

By, taking the like terms

$\sf 27-15=3x-x$

$\sf 12=2x$

Finding the value of x

$\sf x=\dfrac{12}{2}$

$\sf x=6$

The first number is 6

Second number = $\sf 15-6$

Second number = 9

The second number is 9

Therefore, the first and the second number is 6 and 9 respectively.