Question

11. The age of Ruby and Tabassum are in the ratio 5:7.
Five years later, their ages will be in the ratio 3:4.
Find the Tabassum age.
20.
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Answer 1

Answer:

Tabassum age is =35 year

Step-by-step explanation:

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Answer 2

Given:

$\boxed{The \ ages \ of \ Ruby \ and \ Tabassum \ are \ in \ the \ ratio \ 5:7}$

$\implies \bold{Let \ the \ ages \ of \ Ruby \ and \ Tabassum \ be \ 5x \ and \ 7x \ respectively}$

$\bold{Five \ years \ later, \ their \ ages \ will \ be \ in \ the \ ratio \ 3:4}$

$\implies \sf\dfrac{5x+5}{7x+5} = \dfrac{3}{4}$

Solution:

⟹4(5x+5)=3(7x+5)

⟹20x+20=21x+15

⟹20x−21x=15−20

⟹−x=−5

⟹x=5

$\boxed{ ✔5 × 7 = 35 age✔}$

so, the age of Tabassum is 35 age