Question

The ratio of Raj and Sameer is 3:4.After 4 years the ratio of their ages will be 4:5.find their ages

Answer 1

LET the age of raj be 3x and sameer's age be 4x

therefore their ages after 4 years will be

3x + 4

4x + 4 respectively

this is equal to 4y and 5y of that age

therefore atq

3x + 4 = 4y - eq 1

4x + 4 = 5y - eq 2

subtract eq 1 from eq 2

x = y

therefore

3x + 4 = 4x

- x = - 4 or x = 4

Therefore present age of raj = 3 × 4 = 12 years

and sameer = 4 × 4 = 16

Answer 2

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Question:-

• The ratio of Raj and Sameer is 3:4.After 4 years the ratio of their ages will be 4:5.find their ages.

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Answer:-

✏ Age of Raj is 12 years

✏ Age of Sameer is 16 years

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Step by step explanation:-

✍ Let the Raj present age be 3x

✍ And let the Sameer present age be 4x

After 4 years

Raj age be 3x +4

Sameer age be 4x + 4

☛ Now According to question

$⇢ \frac{3x + 4}{4x + 4} = \frac{4}{5}$

Now do cross multiplication

$⇢5(3x + 4) = 4(4x + 4) \\ \\ ⇢15x + 20 = 16x + 16 \\ \\ ⇢20 - 16 = 16x + 15x \\ \\⇢ x = 4$

So the value of x is 4

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☞ Present age of Raj = 3x = 3× 4 = 12 yrs

☞ Present age of Sameer = 4x = 16 years

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