Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 1)
1.
Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?
2 times
1 times
2
3 times
4
3 times
Answer: Option
Explanation:

Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.

(4x + 8) = 5 (x + 8)
2

8x + 16 = 5x + 40

3x = 24

x = 8.

Hence, required ratio = (4x + 16) = 48 = 2.
(x + 16) 24

Discussion:
319 comments Page 8 of 32.

Manohar said:   1 decade ago
Try this way now the ratio is

4: 1
8 (4x2)=8 8-5=3x=8(5-2)
5 :2 5x1)=5 x=8
32 8 after 8 yrs 40 16 further 8 yrs 48 24 2;1

Parveen said:   1 decade ago
Is thare any shortcut to solve this in seconds.

Parveen said:   1 decade ago
It is very helpful.

Vineshgujjari said:   1 decade ago
To all,

1)let ronit age be-> x,
2)father age be-> 3x+x,(as it is said 3 times more than ronit so 3x+x)
3)now it is said dat after 8 years,the father age will be two and half times ronit that is
father+8=5/2(ronit+8)
3x+x+8=5/2(x+8)
(4x+8)2=5(x+8)
8x+16=5x+40
3x=24
x=8.------(1)
4)again after 8 yrs,
x+3x+8+8=y(x+8+8)
4x+16=y(x+16)
now put x=8(from 1)
4*8+16=y(8+16)
32+16=y(24)
48=y(24)
Y=2.(hence solved)

Hope you all understand...

Karuna said:   1 decade ago
(4x+8)=5/2(x+8) please can u explain me how this step came...
means,
father age was 4x sun age was x
next after 8 years,
father age was 4x+8 sun age was x+8

Now he would be 2 and half times more than his son right then,
Here i didn't get...

Vasa said:   1 decade ago
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.

Suganya.s said:   1 decade ago
How 5/2(x+8) please explain?

Basava said:   1 decade ago
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....

Leenus said:   1 decade ago
I can't understand the last step can you please explain it.

CHITHRA said:   1 decade ago
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.


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