Question

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

Answer 1

Let the number be x

Then, According to question, we get

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

Taking LCM 12 in L.H.S

$\frac{8x - 3x}{12} = 10$
$\frac{5x}{12} = 10$
$5x = 10 \times 12$
$5x = 120$
$x = \frac{120}{5}$
$x = 24$

Hence, the number = x = 24
That's ur answer



VERIFICATION

Putting value of x in equation 1

$\frac{2}{3} x - 1 0 = \frac{1}{4} x$
$( \frac{2}{3} \times 24) - 10 = \frac{1}{4} \times 24$
$( \frac{48}{3}) - 10 = (\frac{24}{4} )$
$16 - 10 = 6$
$6 = 6$
Hence, R.H.S = L.H.S
Therefore the value of x = 24 is correct

Hope it'll help