Question

Eight times the result of subtracting 3 from a number is equal to the number increased by 25. What is the number? Write an equation that you could use to solve this problem. engagemy

Answer 1

The number is 7.

`x=7`

Step-by-step explanation:

Let us convert the sentences to a maths equation;

Let x represent the number.

"Eight times the result of subtracting 3 from a number"

`8(x-3)`

"the number increased by 25"

`x+25`

Since they are equal to each other, we have;

`8(x-3)=x+25`

Let's now solve the resulting equation;

`\begin{gathered} 8(x-3)=x+25 \\ 8(x)+8(-3)=x+25 \\ 8x-24=x+25 \\ \text{add 24 to both sides} \\ 8x-24+24=x+25+24 \\ 8x=x+49 \\ \text{subtract x from both sides;} \\ 8x-x=x-x+49 \\ 7x=49 \\ \text{divide both sides by 7} \\ (7x)/(7)=(49)/(7) \\ x=7 \end{gathered}`

Therefore, the number is 7.

`x=7`