Question

the present age of ram and shivam are in the ratio 7:5.Ten years later,their ages will be in the ratio 9:7.Find their present ages ​

Answer 1

Step-by-step explanation:

ram age = 28years

Shivam age= 20yearsc

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Answer 2

Their present age are :

• The present age of Ram = 35 years.
• The present age of Shivam = 25 years.

Given :

• The ratio of the present age of Ram and Shivam = 7 : 5.
• After ten years, their ages will be in the ratio = 9 : 7.

To Find :

• The present age of Ram and Shivam.

Solution :

Let,

The present age of Ram be 7x.

The present age of Shivam be 5x.

After ten years,

The age of Ram = 7x + 10

The age of Shivam = 5x + 10

The age of Ram and Shivam is in the ratio,

$: \implies \rm 9 \ratio7 = \dfrac{9}{7}$

$: \implies \rm \dfrac{7x + 10}{5x + 10} = \dfrac{9}{7} \\ \\ : \implies \rm 7(7x + 10) = 9(5x + 10) \\ \\ : \implies \rm 49x + 70 = 45x + 90 \\ \\ : \implies \rm 49x - 45x = 90 - 70 \\ \\ : \implies \rm 4x = 20 \\ \\ : \implies \rm x = \dfrac{20}{4} \\ \\ : \implies \rm x = 5 \\ \\ \: \rm \therefore \: \: x = 5$

So the present age of Ram and Shivam :

★ The present age of Ram = 7x = 7 ( 5 ) = 35 years.

★ The present age of Shivam = 5x = 5 ( 5 ) = 25 years.

Hence,

The present age of Ram and Shivam is 35 years and 25 years.