Question

present age of ravi's mother is 6 time to ravi's present age after 5 years age of ravi will be one third of his mother's age what is the sum of their ages after 7 years​

Answer 1

Sum of Ravi and hos mother  ages after 7 years​ = 49 years   or  37 1/3 Years

Step-by-step explanation:

Let Say Ravi Present Age  = R  

Ravi Mother Present Age = 6R

after 5 years age of ravi will be one third of his mother's age ( Present age)

=> ( R + 5)  = 6R/3

=> 3R + 15  = 6R

=> 3R = 15

=> R = 5

Ravi Present Age = 5 Year

Mother Present Age = 30 Years

after 7 Years

Ravi age = 12 Years

Mother Age = 37 years

Total Age = 12 + 37 = 49  Years

after 5 years age of ravi will be one third of his mother's age (  age after 5 years)

( R + 5)  = (6R+ 5)/3

=> 3R + 15  = 6 R + 5

=> 3R = 10

=> R =10/3

Ravi Age = 10/3

Mother = 20 Years

after 7 Years

Ravi age = 10/3 + 7  = 31/3 Years

Mother Age = 20+ 7 = 27 years

Total Age = 31/3 + 27 = 112/3  = 37 1/3  Years

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Answer 2

Given: Present age of Ravi's mother is $6$ time to Ravi's present age after $5$ years age of Ravi will be one third of his mother's age.

To Find: What is the sum of their ages after $7$ years​.

Step-by-step explanation:

Lets take Ravi's present age is $r$

Then Ravi's mother present age is $6r$

After $5$ years age of Ravi will be one third of his mother's age.

After $5$ years age of Ravi is $(r+5)$ years.

And After $5$ years age of Ravi's mother is $(6r+5)$ years.

So,

   $(r+5)=\frac{(6r+5)}{3}$

⇒$3r+15=6r+5$

⇒$6r-3r=15-5$

⇒$3r=10$

⇒$r=\frac{10}{3}$

∴ $r=3.333$ years

Ravi's present age is $3.333$ years.

And Ravi's mother present age is $(6\times 3.333)=20$ years

So, After $7$ years,

Ravi's age $=(7\times 3.333)=23.331$ years.

And Ravi's mother age $=(7\times 10)=70$ years.