Question

Ratio of present age of Amit and Rakesh is 7:5. Amit will be 36 years old after 8 years. How old Rakesh is now ? ​

Answer 1

Answer:

25 years.

Step-by-step explanation:

Let the present age of A= 7x years

The present age of B= 5x years

After 10 years, their ages will be

A=7x+10 years and

B=5x+10 years

The ratio of their ages after 10 years is 9:7.

∴

5x+10

7x+10

​

=

7

9

​

⇒49x+70=45x+90

⇒49x−45x=90−70

⇒4x=20

⇒x=5

∴ Present age of A= 7×5=35 years and present

age of B= 5×5=25 years.

Answer 2

Answer:

Rakesh is $25$ years old now

Given:

Ratio of present age of Amit and Rakesh is $7:5$.

Step-by-step explanation:
Let the present age of $A= 7x$ years

The present age of $B= 5x$ years

After $10$ years, their ages will be

$A=7x+10$ years and

$B=5x+10$ years

The ratio of their ages after $10$ years is $9:7$.

∴$5x+10:7x+10=7:9$

⇒$49x+70=45x+90$

⇒$49x−45x=90−70$

⇒$4x=20$

⇒$x=5$

∴ Present age of $A= 7$ × $5=35$ years and present age of $B= 5$×$5=25$ years.

For more similar questions refer to-

https://brainly.in/question/49894610

https://brainly.in/question/49297754

#SPJ3