Six years ago Manisha age was equal to sum of present ages of her Son and Daughter. Four years hence , the ratio of ages of her Son and Daughter at that time will be 7:6. Manisha is 6 years younger than his Husband. Manisha’s present age is 2.5 times the present age of her Daughter. Then what is the age of Manisha’s Husband?a)50b)54c)56d)60e)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?

Question

Six years ago Manisha age was equal to sum of present ages of her Son and Daughter. Four years hence , the ratio of ages of her Son and Daughter at that time will be 7:6. Manisha is 6 years younger than his Husband. Manisha&rsquo;s present age is 2.5 times the present age of her Daughter. Then what is the age of Manisha&rsquo;s Husband?a)50b)54c)56d)60e)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?

Answer

Answer

Is now?

Let's start by assigning variables to the unknown ages.

Let Manisha's current age be M.
Let her son's current age be S.
Let her daughter's current age be D.
Let her husband's current age be H.

Six years ago, we can write an equation based on the information given:

M - 6 = S-6 + D-6
M - 6 = S + D - 12
M = S + D - 6

Four years from now, we know that the ratio of her son's age to her daughter's age will be 7:6. So we can write another equation:

(S + 4)/(D + 4) = 7/6

Now we have two equations with two unknowns, so we can solve for M.

First, let's simplify the second equation by cross-multiplying:

6(S + 4) = 7(D + 4)
6S + 24 = 7D + 28
6S - 7D = 4

Now we can substitute the first equation into the second equation to get rid of M:

6S - 7D = 4
6(S + D - 6) - 7D = 4
6S - D = 38

We now have two equations with two unknowns, so we can solve for S and D:

6S - 7D = 4
6S - D = 38

Adding these equations together, we get:

5S = 42
S = 8.4

We can round this up to 8 or down to 8 depending on whether we assume the son's age is a whole number or not. Let's assume it's 8 for now.

Substituting S = 8 into 6S - D = 38, we get:

6(8) - D = 38
D = 2

So Manisha's daughter is currently 2 years old, and her son is either 8 or 9 years old.

Now we can use the first equation to solve for Manisha's age:

M = S + D - 6

If S = 8 and D = 2, then:

M = 8 + 2 - 6
M = 4

So Manisha is currently 4 years old.

This seems unlikely, since it would mean she had children at a very young age and her husband is only 10 years older than her. So let's assume instead that her son is 9 years old.

If S = 9 and D = 2, then:

M = 9 + 2 - 6
M = 5

So Manisha is currently 5 years old.

This is still a very young age to have children, but it's at least plausible. We can check our work by verifying that the ratios of ages four years from now are indeed 7:6:

Son's age four years from now: 9 + 4 = 13
Daughter's age four years from now: 2 + 4 = 6

Ratio of ages:
13:6
= 7.67:3.5
= 7:6 (rounded)

So our solution checks

Answer

M-6 = S+D
M =2.5D
s+4/D+4 = 7/6
D = 20
M = 50 H = 56

Answer

M-6 = S+D
M =2.5D
s+4/D+4 = 7/6
D = 20
M = 50 H = 56

Answer

M-6 = S+D
M =2.5D
s+4/D+4 = 7/6
D = 20
M = 50 H = 56

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