Respuesta :
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 [tex]\frac{2}{3} x[/tex]
10 less than two third the number becomes
[tex]\frac{2}{3}x-10[/tex]
one fourth the number becomes [tex]\frac{1}{4}x[/tex]
10 less than two thirds the number is one fourth the number
[tex]\frac{2}{3}x-10=\frac{1}{4}x[/tex]
We need to solve for x
LCD is 3*4 = 12
Multiply the whole equation by 12
[tex]\frac{2*12}{3}x-10*12=\frac{1*12}{4}x[/tex]
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
