Question

If you take a number, times by 4 then add 7. You get the same as if you took the number, times by 8 then subtract 5. What is the number?

Answer 1

Answer:3

Explanation:

let them number be a

4a+7=8a-5

Collect like terms

8a-4a=7+5

4a=12

Divide both sides by 4

4a/4=12/4

a=3

Answer 2

Explanation:

Let the number be x

4 times x = 4x

add 7 to it: 4x + 7

8 times x : 8x

Then subtract 5: 8x - 5

8x - 5 = 4x +7

add 5 to both sides

8x -5 + 5 = 4x + 7 + 5

8x = 4x + 12 { subtract 4x from both sides}

8x - 4x = 4x + 12 -4x

4x = 12 {Now divide both sides by 4}

4x/4= 12/4

x = 3