Question

Khan and Shoaib decide to take a ratio of their ages. It comes out to be 5:4 respectively. Three years from now, the ratio of their ages will be 11 : 9 respectively. What is Shoaib’s present age in years?

Answer 1

Given : Khan and Shoaib decide to take a ratio of their ages. It comes out to be 5:4 respectively. Three years from now, the ratio of their ages will be 11 : 9 respectively.

To Find : Shoaib’s present age in years

Solution:

Let say Shoaib’s present age  = 4A  Years

Then Khan Present age = 5A  Years

After 3 Years  Khan age = 5A + 3

After 3 Years  Shoaib’s age = 4A + 3

ratio of their ages 11 : 9

=> (5A + 3 ) : ( 4A + 3) = 11 : 9

=> 9 (5A + 3) = 11(4A + 3)

=> 45A + 27 = 44A  + 33

=> A = 6

Shoaib’s present age  = 4A  = 24 Years  

Shoaib’s present age in years = 24

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Answer 2

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

Khan and Shoaib decide to take a ratio of their ages. It comes out to be 5:4 respectively. Three years from now, the ratio of their ages will be 11 : 9 respectively. What is Shoaib’s present age in years?

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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➤ Let say Shoaib's present age = 4x Years

➤Then Khan Present age = 5x Years

➤After 3 Years Khan age = 5x+3

➤After 3 Years Shoaib's age = 4x +3

ratio of their ages 11:9

=>(5x +3):(4x+3) = 11:9

=>9 (5x +3) = 11(4x+3)

=>45x +27 =44x +33

=>45x-44x=33-27

=>x=6

$\boxed{X =6}$

Shoaib's present age = 4A=4×6=$\bold{\red{ 24 \:Years}}$

Shoaib's present age in years = 24

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