Question

one-fourth of a number is 10 less than the two-thirds of the numbers

Answer 1

$\frac{x}{4} = \frac{2}{3} x - 10 \\ 10 = \frac{2}{3} x - \frac{x}{4} \\ 10 = \frac{8x - 3x}{12} \\ 10 = \frac{5x}{12} \\ x = 24$
the number is 24

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Answer 2

Let

us assume, x is the number

Given:

1/4

x = 2/3 x -10

2/3

x – 1/4 x = 10

Take

the LCM of 3 and 4 and it is 12

Therefore,

(2

* 4 – 3) x / 12 = 10

5x

= 120

x =

24

The number is 24.