Aptitude - Problems on Ages - Discussion
Discussion Forum : Problems on Ages - General Questions (Q.No. 13)
13.
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
Answer: Option
Explanation:
Let the mother's present age be x years.
| Then, the person's present age = |  |
2 | x |  |
years. |
| 5 |
 |
|
2 | x + 8 | |
= | 1 | (x + 8) |
| 5 | 2 |
2(2x + 40) = 5(x + 8)
x = 40.
Discussion:
59 comments Page 1 of 6.
Prachi said:
1 decade ago
One-half means 3/2 na?
Jaz said:
1 decade ago
One-half meaning is 1/2 only.
Aditya said:
1 decade ago
Hey can any one explain properly?
Yuga J. said:
1 decade ago
@Aditya Ive solved it this way....
The ratio of the person's and his mother's present age is 2:5.
Therefore, take the person's age as 2x and his mother's age as 5x.
After 8 years[(add 8 to both values)...i.e. (2x+8) and (5x+8)] their age ratio is 1:2.
Hence,
(2x+8)/(5x+8)=1/2
4x+16=5x+8
x=8
So, the mother's age=5*8=40
The ratio of the person's and his mother's present age is 2:5.
Therefore, take the person's age as 2x and his mother's age as 5x.
After 8 years[(add 8 to both values)...i.e. (2x+8) and (5x+8)] their age ratio is 1:2.
Hence,
(2x+8)/(5x+8)=1/2
4x+16=5x+8
x=8
So, the mother's age=5*8=40
(10)
Bharathi.m said:
1 decade ago
Thanks yuga.
Mithu Sen said:
1 decade ago
Hey Yuga.
Thanks your way of explaination was very simple.
Thanks your way of explaination was very simple.
Mrs pallavi said:
1 decade ago
Let the person age x, mother age y.
x=2/5*y............condn(1)
(x+8)=1/2(y+8).....condn(2)
from 1
5x-2y=0.........(a)
from 2
2x-y=-8 ..........(b)
from a & b
we get x=16 & y=40
Answer is 40.
x=2/5*y............condn(1)
(x+8)=1/2(y+8).....condn(2)
from 1
5x-2y=0.........(a)
from 2
2x-y=-8 ..........(b)
from a & b
we get x=16 & y=40
Answer is 40.
Subru said:
1 decade ago
x=mother's age
sons age=2/5*x
x=40(answer)
sons age=100
how this possible
sons age=2/5*x
x=40(answer)
sons age=100
how this possible
Ajith said:
1 decade ago
Good yuga! simplified!
Deepa said:
1 decade ago
Gr8 Yuga!
Can somebody explain the Actual calculation presented by them?
Can somebody explain the Actual calculation presented by them?
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