James is now 12 years younger than Mahesh. If 9 years from now Mahesh will be twice as old as James, how old will James be in 4 years?a)3b)7c)5d)9e)8Correct answer is option 'B'. Can you explain this answer?

Question

Answer

Let present age of MAHESH = X
then, age of JAMES = X - 12
9 year later,
MAHESH age = X+9
JAMES age = X -12 +9 = X - 3
A/Q,
X+ 9 = 2 (X - 3)
=> X+ 9 = 2X - 6
=> X = 15
JAMES present age = 15 - 12 = 3
JAMES age in 4 years = 3+4 =7 years

Answer

Let's break down the information given in the problem:

- James is now 12 years younger than Mahesh.
- If we denote James' age as J and Mahesh's age as M, we can write this relationship as J = M - 12.

- 9 years from now, Mahesh will be twice as old as James.
- In 9 years, James' age will be J + 9 and Mahesh's age will be M + 9. According to the problem, Mahesh's age will be twice James' age, so we can write this relationship as M + 9 = 2(J + 9).

Now, let's solve these equations to find the current ages of James and Mahesh.

Substituting J = M - 12 into the second equation:
M + 9 = 2((M - 12) + 9)
M + 9 = 2(M - 12 + 9)
M + 9 = 2(M - 3)
M + 9 = 2M - 6

Bringing like terms together:
2M - M = 9 + 6
M = 15

Substituting M = 15 into the first equation:
J = 15 - 12
J = 3

So currently, James is 3 years old and Mahesh is 15 years old.

Now, let's calculate how old James will be in 4 years.

James' current age is 3. In 4 years, he will be 3 + 4 = 7 years old.

Therefore, James will be 7 years old in 4 years.

Hence, the correct answer is option B) 7.

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