5 years hence, the age of a man shall be 3 times the age of his son while 5 years earlier the age of the man was 7 times the age of his son. The present age of the man isA. 45 yearsB. 50 yearsC. 47 yearsD. 40 years

Let us assume the present age of men be x years

Also, the present age of his son be y years

According to question, after 5 years:

(x + 5) = 3 (y + 5)

x + 5 = 3y + 15

x – 3y = 10 …(i)

Also, five years ago:

(x – 5) = 7 (y – 5)

x – 5 = 7y – 35

x – 7y = – 30 …(ii)

Now, on subtracting (i) from (ii) we get:

– 4y = – 40

y = 10

Putting the value of y in (i), we get

x – 3 × 10 = 10

x – 30 = 10

x = 10 + 30

x = 40

The present age of men is 40 years

Hence, option D is correct

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