Question

if the number is divided by 3, it is reduces by 34 . the number is

Answer 1

52.................................

Answer 2

The number is 51

Given :

If the number is divided by 3, it is reduces by 34

To find :

The number

Solution :

Step 1 of 2 :

Form the equation to find the number

Let the required number = x

By the given condition

$\displaystyle \sf{ \frac{x}{3} = x - 34 }$

Step 2 of 2 :

Find the number

$\displaystyle \sf{ \frac{x}{3} = x - 34 }$

$\displaystyle \sf{ \implies x - \frac{x}{3} = 34}$

$\displaystyle \sf{ \implies \frac{3x - x}{3} = 34}$

$\displaystyle \sf{ \implies \frac{2 x}{3} = 34}$

$\displaystyle \sf{ \implies x = 34 \times \frac{3}{2} }$

$\displaystyle \sf{ \implies x = 17 \times 3}$

$\displaystyle \sf{ \implies }x = 51$

Hence the required number = 51

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