Question

Mrs Shubh has two daughters, Sona and Mona. The ratio of their present ages is 3:5. After 4 years from now the ratio of their ages will be 5:7. Find the precent ages of both. ​

Answer 1

Answer:

Step-by-step explanation:

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Question:-

• Mrs Shubh has two daughters, Sona and Mona.
• The ratio of their present ages is 3:5.
• 4 years from now the ratio of their ages will be 5:7.

To find:-

• Find the precent ages of both

Solution:-

the ratio of ages of sona & mona is 3:5

let the actual ages be 3k:5K--------(1)

after 4 yrs

their ages become 5:7

which means = 3k+4:5k+4 = 5:7

$\frac{3k + 4}{5k + 4}=\frac{5}{7}\\\\7(3k+4) = 5(5k+4)\\\\21k+28 = 25k+20\\\\21k-25k = 20-28\\\\-4k = -8\\\\-k = -2\\\\k = 2$

sub in (1)

their ages are 3k:5K = 3×2:5×2 = 6:10

after 4 yrs 6+4:10+4 = 10:14