Question

5 times a number increased by 7 is equal to 112. what is the number?

Answer 1

21

Explanation:

We need to write the equation

5 times a number

5x

increased by 7

5x+7

is equal to 112

5x+7 = 112

Now we can solve it

Subtract 7 from each side

5x+7-7= 112-7

5x = 105

Divide each side by 5

5x/5 = 105-5

x = 21

The number is 21

Answer 2

21

Explanation:

Let the unknown number be x.

• 5 times a number (That means you have multiply the unknown number be x)

5x

• 5 times a number increased by 7 (That means you have to add 7 to 5x)

5x + 7

• 5 times a number increased by 7 is equal to 112. (That means that expression is equal to 112)

5x + 7 = 112

And now make x the subject and find the unknown number.

`5x + 7 = 112 \\ 5x = 112 - 7 \\ 5x = 105 \\ (5x)/(5) = (105)/(5) \\ x = 21`