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The ratio of the ages of the father and the son at present is 4:1. 4 years later, the ratio will be 3:1. What was the ratio of their ages 4 years ago?
  • a)
    7:1
  • b)
    5:1
  • c)
    5:2
  • d)
    2:1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The ratio of the ages of the father and the son at present is 4:1. 4 ...
Present age: father =4x son =x
Now, (4x+4)/(x+4) = 3/1
⇒ X= 8.
4 years ago the ages were: father= 32-4=28 son=8-4=4
The required ratio = 28:4 = 7:1
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Most Upvoted Answer
The ratio of the ages of the father and the son at present is 4:1. 4 ...
Given:
The ratio of the ages of the father and the son at present is 4:1.
After 4 years, the ratio will be 3:1.

To find:
The ratio of their ages 4 years ago.

Solution:
Let's assume the present ages of the father and the son are 4x years and x years respectively.

After 4 years:
The father's age will be 4x + 4 years.
The son's age will be x + 4 years.

According to the given information, the ratio of their ages after 4 years is 3:1. So we can write:

(4x + 4) / (x + 4) = 3 / 1

Solving the equation:
Cross multiplying, we have:

3(x + 4) = 1(4x + 4)

3x + 12 = 4x + 4

Bringing like terms to one side, we get:

4x - 3x = 12 - 4

x = 8

So the present age of the son is 8 years.

Present ages:
Father's age = 4x = 4 * 8 = 32 years
Son's age = x = 8 years

4 years ago:
Father's age 4 years ago = 32 - 4 = 28 years
Son's age 4 years ago = 8 - 4 = 4 years

The ratio of their ages 4 years ago is 28:4, which can be simplified to 7:1.

Hence, the correct answer is option A) 7:1.
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The ratio of the ages of the father and the son at present is 4:1. 4 years later, the ratio will be 3:1. What was the ratio of their ages 4 years ago?a)7:1b)5:1c)5:2d)2:1Correct answer is option 'A'. Can you explain this answer?
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