Question

a boys age is one fouth that of his father after 24 years the boy will be half the age of his father .find their present ages​

Answer 1

Answer:

The boy is 12.  His father is 48.

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Step-by-step explanation:

Let b be the age of the boy and f the age of the father.

His age is one fourth that of his father

=> b = f / 4

After 24 years, the boy's age will be b+24 and the father's age will be f+24.

After 24 years, the boy will be half the age of his father

=> b + 24 = ( f + 24 ) / 2

From the first equation, f = 4b.

Substituting this into the second equation:

b + 24 = ( 4b + 24 ) / 2

=> b + 24 = 2b + 12

=> b = 12

=> f = 48

Answer 2

Answer:

boy=12 and father=48

Step-by-step explanation:

boys age=b

fathers age=f

b=f/4

b+24=(f+24)/2

f/4+24=(f+24)/2

f+96=2f+48

f=48

b=48/4=12