Math, asked by alokmaurya, 1 year ago

present age of Anu and Raj are in the ratio 4 : 5 8 years from now the ratio of their age will be 5 : 6 find their present age

Answers

Answered by vIsHal005
1
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Answered by Champion55
1

↦Solution : -

Let the present age of Anu be = 4x

Let the present age of Raj be = 5x

After Eight years : -

Present age of Anu = (4x + 8)

Present age of Raj = (5x + 8)

The ratio of their ages after 8 years = 4x+8/5x+8

Now ,

It is given that , 8 years from now the ratio of their age will be 5 : 6 ..

So ,

4x+8/5x+8 = 5/6

By Cross Multiplication : -

6 (4x + 8) = 5 (5x + 8)

24x + 48 = 25x + 40

24x + 48 - 40 = 25x

24x + 8 = 25x

8 = 25x - 24x

8 = x

Therefore , Value of x is 8 ..

Now ,

Present age of Anu = 4(x)

4 × 8

32 years

Present age of Raj = 5(x)

5 × 8

40 years

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