Question

The product of 8 and the sum of 4 and a number is 112. What is the number?

Answer 1

The number is `10`

Explanation:

Converting the question statement into an algebraic equation:
`color(white)("XXX")8xx(4+n)=112`

`color(white)("XXX")rarr 32+8n=112`

`color(white)("XXX")rarr8n=80`

`color(white)("XXX")rarrn=10`

Answer 2

`x=10`

Explanation:

The number which is the product of 8 is the sum of 4 and a number therefore is `(4+x)`

So: `8*(4+x) =112`

"Multiply 8 into the brackets"

`(8*4) +(8*x)=112`

`(32+8x)=112`

"Subtract 32 from both sides"

`8x=80`

"Divide both sides by 8"

`x=10`