Question

The ages of Anil & Sohan are in the ratio 3:8 four years from the ration of their ages
will be 1:2. Find their present age​

Answer 1

Step-by-step explanation:

Correct Question :-

The ages of Anil & Sohan are in the ratio 3:8. Four years from now the ratio of their ages will be 1:2. Find their present ages.

Required Answer :-

Present age of Anil is 6 years.

Present age of Sohan is 16 years.

Explanation :-

Given :-

Ratio of ages of Anil & Sohan = 3:8

Four years from now ratio of their ages will be = 1:2

To Find :-

Their present ages?

Solution :-

Let their present ages be 3n years & 8n years.

So, four years from now their ages will be (3n + 4) years & (8n + 4) years.

According to the question,

Four years from now ratio of their ages will be 1:2.

Therefore,

$3n + 4 = 1 \\ 8n + 4 = \: 2$

By cross multiplication,

2(3n+4) = 1(8n+4)

6n+8=8n+4

8n-6n=8-4

2n=4

n= 4 / 2

n= 2

Hence,

↦ Present age of Anil = 3n

↦ Present age of Anil = 3 × 2

➦ Present age of Anil = 6 years

Also,

↦ Present age of Sohan = 8n

↦ Present age of Sohan = 8 × 2

➦ Present age of Sohan = 16 years

Hence present ages of Anil and Sohan are 6 years and 16 years.

LETS VERIFY

$3n + 4 = 1 \\ 8n + 4 = 2$

Put of n= 2 we get,

$\frac{(3 \times 2) + 4 = 1}{(8 \times 2) + 4 = 2?}$

$\frac{6 + 4 = 1}{16 + 4 = 2?}$

$\frac{10 = 1}{20 = 2}$

$\frac{1 = 1}{2 = 2}$

LHS = RHS HENCE VERIFIED

Answer 2

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