Question

Present age of Asgar and Akbar is in the ratio 4:5. Ten years after, the

ratio of their ages will be 6:7. Find their present ages.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer :

➥ The persent age of Asgar and Akbar = 20 and 25 years

Given :

➤ Present Age of Asgar and Akbar = 4 : 5

➤ Ten years after the ratio of their ages = 6 : 7

To Find :

➤ Persent age of Asgar and Akbar = ?

Solution :

Let ,

The persent age of Asgar be 4x and the present age of Akbar be 5x.

Ten years afters ,

The age of Asagr be 4x + 10 and the age of Akbar be 5x + 10

After ten years their ratio of their age will be 6 : 7.

So ,

$\tt{:\implies \dfrac{4x + 10}{5x + 10} = \dfrac{6}{7} }$

By cross multiplication, we get

$\tt{:\implies 7(4x + 10) = 6(5x + 10)}$

$\tt{:\implies 28x + 70 = 30x + 60}$

$\tt{:\implies 28x - 30x = 30 - 70}$

$\tt{:\implies - 2x = - 10}$

$\tt{:\implies x = \dfrac{ \cancel{-}10}{ \cancel{-} 2} }$

$\tt{:\implies x = \cancel{\dfrac{10}{2}} }$

$\bf{:\implies \underline{ \: \: \underline{ \green{\: \: x = 5 \: \: }} \: \: }}$

Now ,

→ Persent age of Asgar = 4x

→ Persent age of Asgar = 4 \times 5

→ Persent age of Asgar = 20 years

→ Persent age of Akbar = 5x

→ Persent age of Akbar = 5 × 5

→ Persent age of Akbar = 25 years

Hence, the present age of Asgar and Akbar is 20 and 25 years.