Question

A sum is x. If 2/3 of the sum is rs 20, find the sum.

Answer 1

Answer:

30

Step-by-step explanation:

2/3 × x = Rs 20

x =20×3/2

x = 30

the sum is 30

Answer 2

Answer :-

• The sum is Rs 30.

To find :-

• The sum.

Step-by-step explanation :-

Here, it is given that :-

• A sum is x.

• 2/3 of the sum is Rs 20.

Therefore,

$\longrightarrow \: \sf{x \times \dfrac{2}{3} = 20}$

$\longrightarrow \: \sf{x \times 2 = 20 \times 3}$

$\longrightarrow \: \sf{x \times 2 = 60}$

$\longrightarrow \: \sf{2x = 60}$

$\longrightarrow \: \sf x = \cancel{\dfrac{60}{2}}$

$\longrightarrow \: \sf{x = Rs \: 30}$

Hence :-

• The sum is Rs 30.

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Verification :-

• To check our answer, let's put 30 in the place of x and see whether LHS = RHS.

LHS

$\longrightarrow \: \sf{x \times \dfrac{2}{3}}$

$\longrightarrow \: \sf{30 \times \dfrac{2}{3}}$

Cancelling the numbers,

$\longrightarrow \: \sf{10 \times 2}$

$\longrightarrow \: \sf{20}$

RHS

$\longrightarrow \sf \: 20$

LHS = RHS.

Hence verified!!

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