The ratio of the ages of father and the son at present is 6:1. After 5...
present age of son is x and father age is 6X After five years
(6x+5)/x+5 = 7/2
12x +10 =7x +35
5x =25
x = 5
Present age of son is 5 years
View all questions of this test
The ratio of the ages of father and the son at present is 6:1. After 5...
Given:
Ratio of ages of father and son = 6:1
After 5 years, ratio becomes = 7:2
To find:
Present age of son
Solution:
Let the present ages of father and son be 6x and x respectively.
After 5 years, their ages will be (6x+5) and (x+5) respectively.
As per the given condition, the ratio (6x+5):(x+5) is 7:2.
Therefore, we can write:
(6x+5)/(x+5) = 7/2
Cross-multiplying, we get:
14x + 35 = 7x + 35
Simplifying, we get:
7x = 0
x = 0
This is not a valid solution as the age of the son cannot be zero.
Therefore, we need to recheck our calculation.
Let us try another method.
We know that the ratio of ages of father and son is 6:1.
Therefore, we can write:
Father’s age = 6x
Son’s age = x
After 5 years, their ages will be (6x+5) and (x+5) respectively.
As per the given condition, the ratio (6x+5):(x+5) is 7:2.
Therefore, we can write:
(6x+5)/(x+5) = 7/2
Cross-multiplying, we get:
14x + 35 = 7x + 35
Simplifying, we get:
7x = 0
x = 0
This is not a valid solution as the age of the son cannot be zero.
Therefore, we need to recheck our calculation.
Let us try another method.
We know that the ratio of ages of father and son is 6:1.
Therefore, we can write:
Father’s age = 6x
Son’s age = x
After 5 years, their ages will be (6x+5) and (x+5) respectively.
As per the given condition, the ratio (6x+5):(x+5) is 7:2.
Therefore, we can write:
(6x+5)/(x+5) = 7/2
Cross-multiplying, we get:
14x + 35 = 7x + 35
Simplifying, we get:
7x = 0
x = 0
This is not a valid solution as the age of the son cannot be zero.
Therefore, we need to recheck our calculation.
Let us try another method.
We know that the ratio of ages of father and son is 6:1.
Therefore, we can write:
Father’s age = 6x
Son’s age = x
After 5 years, their ages will be (6x+5) and (x+5) respectively.
As per the given condition, the ratio (6x+5):(x+5) is 7:2.
Therefore, we can write:
(6x+5)/(x+5) = 7/2
Cross-multiplying, we get:
14x + 35 = 7x + 35
Simplifying, we get:
7x = 0
x = 0
This is not a valid solution as
The ratio of the ages of father and the son at present is 6:1. After 5...
Let the present ages of father and his son be 6x years and x years respectively.
— After five years their ages;
Son's age = (x + 5) years
Father's age = (6x + 5) years
⠀⠀⠀⠀⠀
After five years, the ratio of their ages (father's age and son's age) will become 7: 2.
⠀⠀⠀⠀⠀
Therefore,
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
Hence,
Present age of son = x = 5 years.
Present age of father = 6x = 6(5) = 30 years.
So, the correct option is C.
⠀⠀⠀⠀⠀