A man is 4 times as old as his son. After 16 years he will be only twice as old as his son. Find their present ages.
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Answered by
2
Answer: son = 8 yrs
man = 32 yrs
Step-by-step explanation:
let age of man be m yrs and son be s yrs
ATQ m=4s and m+16 = 2 (s+16)
= 4s=16 = 2s + 32
= 2s = 16
= s = 8 yrs , m= 8*4 = 32 yrs
Answered by
1
Let the present age of man be x
and the present age of his son be y.
A/Q, x=4y...............1) equation
After 16years ,
Age of man=(x+16)years.
Age of his son=(y+16)years.
A/Q,
x+16=2(y+16)
x+16=2y+32
x-2y=16.................2)
4y-2y=16. {from 1)}
2y=16
y=8.
Now put this value in equation 2), we get,
x-2(8)=16
x-16=16
x=32.
So present age of man = 32 years.
and present age of his son = 8 years.
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and the present age of his son be y.
A/Q, x=4y...............1) equation
After 16years ,
Age of man=(x+16)years.
Age of his son=(y+16)years.
A/Q,
x+16=2(y+16)
x+16=2y+32
x-2y=16.................2)
4y-2y=16. {from 1)}
2y=16
y=8.
Now put this value in equation 2), we get,
x-2(8)=16
x-16=16
x=32.
So present age of man = 32 years.
and present age of his son = 8 years.
Liked my answer mark it as brainliest.
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