Required answer :
Question :-
• ☞ Ratio of present ages of sona and sonali is 5:3. After 5 years their ages will be in the ratio 10:7. Calculate the present ages

Solution :-
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Given,
❥︎Ratio of present ages of Sonal and Sonali = 5 : 3
❥︎Ratio of ages after five years = 10 : 7

To find :
❥︎ Present ages of Sona and Sonali

Let,
Present ages of Sona and Sonali be :
Sona = 5x
Sonali = 3y

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Step by step explaination :

Then after five years,
Sona age will be 5x + 5
Sonali age will be 3x + 5
[tex] \frac{5x + 5}{3x + 5} = \frac{10}{7} \\ [/tex]
7 (5x + 5) = 10(3x + 5)
35x + 35 = 30x + 50
35x - 30x = 50 - 35
5x = 15
x = 3

Then,

Present age of sona will be :
→ 5x = 5 × 3
→ 15 years

Present age of Sonali will be:
→ 3x = 3 × 3
→ 9 years

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