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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
10 less than two third the number becomes
one fourth the number becomes
10 less than two thirds the number is one fourth the number
We need to solve for x
LCD is 3*4 = 12
Multiply the whole equation by 12
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