Question

If you take a number, times by 3 then add 5. You get the same as if you took the

number, times by 7 then subtract 8. What is the number?

Answer 1

The number is 4.

If you take a number, times by 3 then add 5, you get (3x + 5).

If you take the same number and times by 7 then subtract 8, you get (7x - 8).

Set the equations equal to each other:

3x + 5 = 7x - 8

Subtract 3x from both sides:

5 = 4x - 8

Add 8 to both sides:

13 = 4x

Divide both sides by 4:

4 = x

Therefore, the number is 4.