Question

The ages of Radha and Seema are in the ratio 5:3. Five years  hence, the ratio of their ages will be 10:7. Find their present ages.​

Answer 1

Answer :

• Present age of Radha = 15 years

• Present age of Seema = 9 years

Given :

• The ages of Radha and Seema are in the ratio 5:3. Five years hence, the ratio of their ages will be 10:7.

To Find :

• Their present ages.

Step By Step Explanation :

It is given that the ages of Radha and Seema are in the ratio 5:3. Five years hence the ratio of their ages will be 10:7.

We need to find their present ages.

So let's do it !!

Let us consider the present ages of Radha and Seema be 5x and 3x.

Then 5 years hence their ages will be 5x + 5 and 3x + 5.

Now, equation will be ⤵

$\dag\boxed{ \bf{ \red{\cfrac{5x + 5}{3x + 5} = \cfrac{10}{7}}}}$

So, let's solve the equation.

$\longmapsto \sf\cfrac{5x + 5}{3x + 5} = \cfrac{10}{7} \\ \\ \longmapsto \sf7(5x + 5) = 10(3x + 5) \\ \\ \longmapsto \sf35x + 35 = 30x + 50 \\ \\ \longmapsto \sf35x - 30x = 50 - 35 \\ \\ \longmapsto \sf5x = 15 \\ \\ \longmapsto \sf \: x = \cancel\cfrac{15}{5} \\ \\ \longmapsto \bf \: x = 3$

Now x = 3

Therefore,

Present age of Radha = 5x => 15 years

Present age of Seema = 3x => 9 years

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