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arul mani

· started a discussion

· 1 Months ago

explanation not clear. please provide the detailed solution

Question:
A says to B “I am twice as old as you were when I was as old as you are”. The sum of their ages is 63 years. Find the difference of their ages.
Options:
A) 27 years
B) 21 years
C) 9 years
D) 6 years
E) None of these
Solution:

Ans:(c)                            A              B

Present age                       2x             y

Some years before            y               x

Here, 2x – y = y – x

2x + x = y + y

3x = 2y

x/y = 2/3

A : B

2x y

2 × 2 3

Present age 4 : 3

Now, the required difference in ages = \(\cfrac{63 \times (4-3)}{(4+3)}\)    = 9 years


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