Question

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1.2073 PUQ.No. 14 बाबु र छोराको अहिलेको उमेरको योगफल
60 वर्ष छ। यदि दुबै जना जीवित रहेको समयमा अहिलेको
बाबुको उमेर बराबर छोराको उमेर हुँदा दुबै जनाको उमेरको
योगफल 120 वर्ष हुन्छ भने तिनीहरूको अहिलेको उमेर पत्ता
लगाउनुहोस् । (The sum of the present ages of a father
and his son is 60 years. If they both live until the son
becomes as old as the father is now, the sum of their
ages will be 120 years, then find their present ages.)

Answer 1

Present age

Son: 15

Father: 45

Explanation:

Remark

Thank you for the translation. Without it, the problem would be impossible -- at least for me.

Givens

Let the present age of the father = x

Let the present age of the son = y

Solution

x + y = 60

How many years will pass? You could say it's z.

x + z = y When z years pass, the son will be his father's present age.

x + z + y + z = 120 when z is added to both their current ages, the result is 120 Collect like terms

x + y + 2z = 120

x + y = 60 Subtract The very first equation

2z = 60 Divide by 2

z = 60/2 30 years have passed.

z = 30

x + z = y

x + 30 = y Substitute x + 30 for the present y value (the father).

x + x + 30 = 60

2x = 30

x = 15

x + y = 60

15 + y = 60

y = 60 - 15

y = 45

So the son's age right now is 15

The father's age right now is 45