Question

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

Answer 1

Answer:

the number is 24

Step-by-step 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 $\frac{2}{3} x$

10 less than two third the number becomes

$\frac{2}{3}x-10$

one fourth the number becomes $\frac{1}{4}x$

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

$\frac{2}{3}x-10=\frac{1}{4}x$

We need to solve for x

LCD is 3*4 = 12

Multiply the whole equation by 12

$\frac{2*12}{3}x-10*12=\frac{1*12}{4}x$

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