Question

Vir thinks of a number. If he takes away 4 from 7/9 of the number, the result is 2/3. Find the number.

Unnecessary answers will be reported

Answer 1

Answer:

The number that was thinked by vir was 13

Step-by-step explanation:

let the number be x, then

7x/9-4=2/3

x-4=2/3*9/7

x-4=9

x=9+4=13

Answer 2

Given:-

• 4 taken away from $\sf{\dfrac{7}{9}}$ = $\sf{\dfrac{2}{3}}$

To find:-

• The number

Assumption:-

Let the number be x

$\sf{\dfrac{7}{9} \: of \: x = \dfrac{7x}{9}}$

Solution:-

ATQ,

$\sf{\dfrac{7x}{9} - 4 = \dfrac{2}{3}}$

=> $\sf{\dfrac{7x - 36}{9} = \dfrac{2}{3}}$

=> $\sf{ 7x - 36 = 9\times \dfrac{2}{3}}$

=> $\sf{7x - 36 = 3 \times 2}$

=> $\sf{7x = 36 + 6}$

=> $\sf{7x = 42}$

=> $\sf{x = \dfrac{42}{7}}$

=> $\sf{x = 6}$

Therefore the number is 6.

Verification:-

$\sf{\dfrac{7}{9}\:of\:6 - 4 = \dfrac{2}{3}}$

$\sf{\dfrac{7}{9}\times6 - 4 = \dfrac{2}{3}}$

$\sf{\dfrac{7\times2}{3} - 4 = \dfrac{2}{3}}$

$\sf{\dfrac{14}{3} - 4 = \dfrac{2}{3}}$

$\sf{\dfrac{14-12}{3} = \dfrac{2}{3}}$

$\sf{\dfrac{2}{3} = \dfrac{2}{3}}$

Hence LHS = RHS [VERIFIED]