Question

The ratio of the ages of Raj and Sameer is 3:4. After 4 years the ratio of their ages will be 4:5. Find their ages.only with one variable ​

Answer 1

Answer:

$\red{ \sf \: Question:-}$

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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$\pink{ \sf \: Answer:-}$

✏ 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

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

Now do cross multiplication

$\begin{gathered} \sf⇢5(3x + 4) = 4(4x + 4) \\ \\ \sf⇢15x. + 20 = 16x + 16 \\ \\ \sf ⇢20 - 16 = 16x + 15x \\ \\ \sf⇢ x = 4\end{gathered}$

So the value of x is 4

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

☞ Present age of Sameer = 4x = 16 years