Question

The sum of two numbers is 100. The sum of 8 and the larger number is equal to 5 times the smaller number. What is the smaller number?

Answer 1

Answer:

The smaller number is 18.

Step-by-step explanation:

We have given that

The sum of two numbers is 100. The sum of 8 and the larger number is equal to 5 times the smaller number.

Let x and y are two numbers.

Let y is the larger number.

x+y  = 100      eq(1)

y+8 = 5x         eq(2)

From eq(1), we have

y  = 100-x

Putting above eq(3) into eq(2), we have

100-x+8 = 5x

108 = 5x+x

108 = 6x

x  = 108/6

x = 18

Hence, the smaller number is 18.

Answer 2

Answer:

The smaller number is 18

Step-by-step explanation:

Let the numbers be $x$ and $y$ where x is the smaller number; $y\:>\:x$.

The sum of the numbers is 100.

$x+y=100...(1)$

The sum of 8 and the larger number is equal to 5 times the smaller number.

$y+8=5x$

$\Rightarrow y=5x-8...(2)$

Put equation (2) into equation (1).

$x+5x-8=100$

$x+5x=100+8$

$6x=108$

$x=18$