Question

40 %of a number is added to 120 then the result is double of the number. what is the number

Answer 1

let x be the number,then:
40x/100+120=2x
2x/5+120=2x
2x/5+600/5=2x
2x+600=10x
600=8x
75=x

hope it helps.
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Answer 2

The required number = 75

Given :

40% of a number is added to 120 then the result is double of the number

To find :

The number

Solution :

Step 1 of 2 :

Form the equation to find the number

Let the required number = x

Now it is given that 40% of a number is added to 120 then the result is double of the number

By the given condition

$\displaystyle \sf \frac{40x}{100} + 120 = 2x$

Step 2 of 2 :

Find the number

$\displaystyle \sf \frac{40x}{100} + 120 = 2x$

$\displaystyle \sf{ \implies 2x - \frac{40x}{100} } = 120$

$\displaystyle \sf{ \implies \frac{200x - 40x}{100} } = 120$

$\displaystyle \sf{ \implies \frac{160x}{100} } = 120$

$\displaystyle \sf{ \implies x = \frac{120 \times 100}{160} }$

$\displaystyle \sf{ \implies x = 75 }$

Hence the required number = 75

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