The age of leena and heena age in ratio 7:5 Ten years hence the ratio of their age will be 9:7find their present age .
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Question:- The age of leena and heena age in ratio 7:5 Ten years hence the ratio of their age will be 9:7find their present age .
Solution:- The ratio of the present ages of Leena and Heena = 7:5
Let the age of Leena be 7x years and Heena be 5x years.
Ten years later their ages will be 7x +10 years and 5x + 10 years.
but the ratio of their ages after ten years is given as 9:7.
let their ages be 9x and 7x
∴9x + 7x = 7x + 10 + 5x + 10
⇒9x = -7x + 7x + 10 + 5x + 10
⇒9x -5x = 10 + 10
⇒4x = 20
⇒x = 20/4 = 5
∴x = 5
Answer:-
∴The age of Leena = 7x = 7× 5 = 35 years
and, Heena`s age = 5x = 5× 5 = 25 years.
Solution:- The ratio of the present ages of Leena and Heena = 7:5
Let the age of Leena be 7x years and Heena be 5x years.
Ten years later their ages will be 7x +10 years and 5x + 10 years.
but the ratio of their ages after ten years is given as 9:7.
let their ages be 9x and 7x
∴9x + 7x = 7x + 10 + 5x + 10
⇒9x = -7x + 7x + 10 + 5x + 10
⇒9x -5x = 10 + 10
⇒4x = 20
⇒x = 20/4 = 5
∴x = 5
Answer:-
∴The age of Leena = 7x = 7× 5 = 35 years
and, Heena`s age = 5x = 5× 5 = 25 years.
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