Question

The age of Alina and Heena are in the radius7:5 10 years hence the radius of their age will be9:7 find their present age

Answer 1

$\sf{\tiny{\boxed{\bold{Heya \: mate.\: Solution\: below}}}}$
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$<b><u><i><font color = "red">Answer - ↓↓↓</font color></i></u></b>$




♠ Let the present ages of Alina and Heena be 7x and 5x respectively.



♠ After 10 years,

Alina's age = 7x + 10

Heena's age = 5x + 10



♠ But, according to the question, after 10 years, their ages will be in ratio 9 : 7.



♠ Then,


$\sf{\frac{7x + 10}{5x + 10} = \frac{9}{7}}$

$\sf{=⟩ 7(7x + 10) = 9(5x + 10)}$

$\sf{=⟩ 49x + 70 = 45x + 90}$

$\sf{=⟩ 49x - 45x = 90 - 70}$

$\sf{=⟩ 4x = 20}$

$\sf{=⟩ x = \frac{20}{4}}$

$\sf{=⟩ x = 5}$




♠ •°• Alina's present age $\sf{= 7x = 7(5) = 35\: years.}$


And, Heena's present age $\sf{= 5x = 5(5) = 25 \:years.}$ ♥
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Thank you... (^_-)