Question

Ajay was twice as old as Vinay at the end of 2018. the sum of the year in which they were born in 4009. how old will Vinay in year be at the end of 2054 ​

Answer 1

Answer:

Let age of ajay is x year

And age of vinay is y year

Then according to question

x=2y in 2018

And

Then DOB of ajay is (2018-x)

And dob of vinay is (2018-y)

Then

(2018-x)+(2018-y)=4009

4036-x-y=4009

4036-4009=x+y

x+y=27

(2y)+y=27(from previous eqn)

y=9

Then x=18

Then DOB of vinay is=(2018-9)=2009

Age at 2054 will be(2054-2009)=45years

Answer 2

Answer:

Age of Vinay = 45 years

Step-by-step explanation:

In the question,

Let the age of Vinay at the end of 2018 be = x

So,

The age of Ajay = 2x (in 2018)

Therefore,

The birth year of Vinay is = (2018 - x)

and,

Birth Year of Ajay = (2018 - 2x)

Also,

Sum of the year in which they born = 4009

So,

$(2018-x)+(2018-2x)=4009\\4036-3x=4009\\3x=27\\x=9$

Therefore,

Birth year of Vinay = 2018 - 9 = 2009

and,

Birth year of Ajay = 2018 - 2(9) = 2000

The Age of Vinay at the end of 2054 will be,

2054-2009 = 45 years.

Therefore, the age of Vinay at the end of 2054 is 45 years.