Question

The respective ratio between parul's present age and rohit's present age is 7: 5. The sum of their ages 5 years from now will be 94. After how many years, rohit's age will be equal to parul's present age?

Answer 1

Answer:

Given:

• ratio between parul's present age and rohit's present age is 7: 5.

• The sum of their ages 5 years from now will be 94

To find:

• After how many years, rohit's age will be equal to parul's present age

Solving Question:

Let the present age of  Paul be 'x' and 'y' be that of Rohit's age.

ratio between parul's present age and rohit's present age is 7: 5.

⇒$\dfrac{x}{y}=\dfrac{7}{5}$.....equ(1)

Then,

ages 5 years from now

paul = x +5

and rohit = y +5

sum of their ages 5 years from now will be 94

⇒ x+5 +y+5 = 94

or, x+y+10=94

or, x+y = 84 .....equ(2)

Solution:

Take equ(1) and (2)

x + y = 84

$\dfrac{x}{y}=\dfrac{7}{5}$

$\implies x=\dfrac{7y}{5}\\\\substitute\:this\:in\:equ(2)$

∴$x+y=84\\\\or,\:\dfrac{7y}{5}+y=84\\\\\\\\\implies \dfrac{7y+5y}{5}=84\:\:[Taking\:L.C.M]\\\\or, 12y=84*5\\\\or, 12y=420\\\\\\\\or,\:y=35$

Thus, y = 35

substitute it in equ(2)

x+y=84

or, x +35 = 84

or, x = 49

∴ Paul's present age is 49 and Rohit's is 35

⇒ Rohit will take 14 years to reach the present age of Paul

Answer 2

Answer:

14

Step-by-step explanation:

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