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Harsh was four times as old as Dev six years ago. How old is Dev today if Harsh will be 40 years old 10 years later?
Question

Harsh was four times as old as Dev six years ago. How old is Dev today if Harsh will be 40 years old 10 years later?

A.

13 years

B.

12 years

C.

14 years

D.

11 years

Correct option is B

Given:

Harsh will be 40 years old 10 years later → Current age of Harsh = 40 − 10 = 30 years

Six years ago, Harsh was 4 times as old as Dev

Solution:
Let Dev's present age = x
Then 6 years ago:
Harsh's age = 30 − 6 = 24
Dev's age = x − 6

Given: 24 = 4(x − 6)

=>\Rightarrow​ 24 = 4x − 24

=>\Rightarrow ​4x = 48

=>\Rightarrow​ x = 12

So, Dev's present age is 12 years

Thus, the correct option is (b) 12 years

Alternate Method:

Let present age of  Harsh  and Deve is H and D respectively:

Given : H + 10  = 40, then H = 30 years

According to the question:

H - 6 = 4 (D - 6)

Putting H = 30

30 - 6 = 4 D - 24

24 = 4 D - 24

4 D = 48

D = 12 years.

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