Question

The present ages of Neelam and Nitin are in the ratio 3 : 4. After 6 years,
their ages will be in the ratio of 4 : 5. Find their present ages.​

Answer 1

AnSwer -:

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Present Age of Neelam-: 18 yrs

Present Age of Nitin -: 24 yrs

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Explanation,

Given ,

• The present ages of Neelam and Nitin are in

the ratio 3 : 4.

• After 6 years,

their ages will be in the ratio of 4 : 5.

To find ,

• Their present ages .

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Solution-:

Let the present age of Neelam be 3x yrs

and

The present age of Nitin be 4x yrs

According to the question,

After 6 years ,

Their age will be -: 3x + 6 / 4x + 6 = 4/5

[cross multiplication ]

5(3x + 6) = 4(4x + 6)

15 x + 30 = 16 x + 24

16x - 15 x = 30 - 24

x = 6

Therefore,

Age of Neelam-: 3x = 3 x 6 = 18 yrs

Age of Nitin -: 4x = 4 x 6 = 24 yrs

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• Present Age of Neelam-: 18 yrs

• Present Age of Nitin -: 24 yrs

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