Question

Find a number such that 10 less than two thirds the number is one fourth the number

Answer 1

the number is 24

Explanation:

10 less than two thirds the number is one fourth the number

Let the unknown number be x

two third of the number is
`(2)/(3) x`

10 less than two third the number becomes

`(2)/(3)x-10`

one fourth the number becomes
`(1)/(4)x`

10 less than two thirds the number is one fourth the number

`(2)/(3)x-10=(1)/(4)x`

We need to solve for x

LCD is 3*4 = 12

Multiply the whole equation by 12

`(2*12)/(3)x-10*12=(1*12)/(4)x`

8x - 120 = 3x

add 120 on both sides

8x = 3x + 120

Subtract 3x on both sides

5x = 120

divide by 5 on both sides

x= 24