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The ratio between present ages of P and Q is 6:7. If Q is 4 years older than P, what will be the ratio of their ages after 4 years?
  • a)
    7:8 
  • b)
    3:5 
  • c)
    4:3 
  • d)
    Data Inadequate
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The ratio between present ages of P and Q is 6:7. If Q is 4 years olde...
P : Q  Diff  So, P = 24
6 : 7  x 4       Q = 28
So after 4 years 28, 32
i.e ratio will be  7 : 8
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Most Upvoted Answer
The ratio between present ages of P and Q is 6:7. If Q is 4 years olde...
Given:
- The ratio between present ages of P and Q is 6:7.
- Q is 4 years older than P.

To find:
- The ratio of their ages after 4 years.

Solution:
Let's assume the present age of P and Q as 6x and 7x respectively.

According to the given information, Q is 4 years older than P.
So, we can write the equation as:
7x = 6x + 4

Simplifying the equation, we get:
7x - 6x = 4
x = 4

Step 1: Find the present ages of P and Q:
Substituting the value of x in the assumed ages:
Present age of P = 6x = 6 * 4 = 24 years
Present age of Q = 7x = 7 * 4 = 28 years

Step 2: Find the ages of P and Q after 4 years:
Age of P after 4 years = Present age of P + 4 = 24 + 4 = 28 years
Age of Q after 4 years = Present age of Q + 4 = 28 + 4 = 32 years

Step 3: Find the ratio of their ages after 4 years:
The ratio of their ages after 4 years = Age of P after 4 years: Age of Q after 4 years
= 28:32
= 7:8

Therefore, the correct answer is option A) 7:8.
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The ratio between present ages of P and Q is 6:7. If Q is 4 years older than P, what will be the ratio of their ages after 4 years?a)7:8b)3:5c)4:3d)Data InadequateCorrect answer is option 'A'. Can you explain this answer?
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