Question

3/4 of a no. is greater than 2/3 of the no. by 10 . what is the no.​

Answer 1

Answer:-

The Required Number Is 120.

Explanation:-

Given:-

• $\tt\dfrac{3}{4}$ of a number is greater than $\tt\dfrac{2}{3}$ of the number by 10.

To Find:-

• The Number.

And Hence,

• Let the number be x.

So,

$\\ \bf\bullet \: \: \dfrac{3}{4} \: \: \: \: of \: \: \: \: x = \orange{ \bf \frac{3}{4} \times x.}$

Similarly,

$\\ \bf\bullet \: \: \dfrac{2}{3} \: \: \: \: of \: \: \: \: x + 10= \orange{ \bf \bigg(\frac{2}{3} \times x \bigg)+ 10}.$

Therefore ATQ:-

$\\ \tt\mapsto \bigg( \dfrac{3}{4} \times x \bigg) = \bigg( \frac{2}{3} \times x \bigg) + 10.$

$\\ \tt\mapsto \dfrac{3x}{4} = \frac{2x}{3} + 10.$

$\\ \tt\mapsto \frac{3x}{4} = \frac{2x + (10 \times 3)}{3} . \\ \\ \rm taking \: \: \: \: lcm.$

$\\ \tt\mapsto \frac{3x}{4} = \frac{2x + 30}{3} .$

$\\ \tt\mapsto3(3x) = 4(2x + 30).$

$\\ \tt\mapsto9x = 8x + 120.$

$\\ \tt\mapsto9x - 8x = 120.$

$\large \red{ \mapsto \boxed{ \blue{ \bf x = 120.}}}$

$\bf\therefore$ The Required Number Is x = 120.

Answer 2

Question:-

3/4 of a number is greater than 2/3 of the number by 10. What is the number ?

Answer:-

Let the number be x

Then, 3/4 of that number will be 3x/4

And, 2/3 of that number will be 2x/3

A/q

(3/4 of the number) - (2/3 of the number) = 10

➨ 3x/4 - 2x/3 = 10

➨ (9x - 8x)/12 = 10

➨ x / 12 = 10

➨ x = 120

Ans. The number is 120