Aptitude - Problems on Ages - Discussion

The sum of ages of family members (both children and parents) is 360 years.The total ages of children and parents are in the ratio 2:1 and the ages of wife and husband are in the ratio 5:7.What will be the age of husband?

a)60 b)77 c)75 d)70

Answer : d) 70

Solution :

Sum of ages is 360 years.The ratio of children and parents ages is 2:1.

Total age of parents = 360 x 1 / 3 = 120 years

Ratio of wife and husband age is 5:7. Therefore, the age of husband = 120 x 7 / 12 = 70

Hence the age of husband is 70 years.

any one explain me????? plz how it came.

How 5/2(x+8) please explain?

In question it is mentioned that After 8 years he(means father) would be two and a half times (5/2)of Ronit's age....

I can't understand the last step can you please explain it.

Hai Leenus, let us assume son's current age is x, fatther's age is 3 times more than that of son, so it will be x+3x=4x.

So present age of son is x and father is 4x. We want to find the ratio of ages after 16 years (8 and further 8, total 16).

So after 16 years fathers will be 4x+16 and son's will be x+16, hence that ratio came.

Now have alook at it, hope you will get that.

I did not get how it became x+3x?

Lovely please read question carefully..........

"At present age of father is (3)times more than his son"
(X=3)
"after 8 years age of father is (2 1/2)times more than his son"
(X= 2 1/2)
"AFTER 8 YEARS WHAT IS THE SONS AGE (i.e here, age of the son will be reducing half,gap of 8 years)"
So(X=2)
[1years->3times
8years->2 1/2times
16years->2times
24years->1 1/2times
32years->1times......................]

I want details answer for 4x+16/x+16 and how did we get answer 48/24 please. Reply me.

Hey we got the x value is 8. So just put the value of 8 in place of x and find out the ratio, you definitely get the answer.

Thing logically friends first 8 years it decreases to off of next 8 years so. The answer is 2.