the prsent average age of a man and his twin sons in 30 years. The ratio of the ages of the man and one of his sons is 5:2. Present age of the man is ?
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Let the present age of the man be y years ,
and that of either son be x years ;
Average = (y+x+x)/3
30+3 = 2x+y
90 = 2x+y
y = 90-2x
Ratio
= y:x = 5:2
y/x = 5/2
2y = 5x
y = (5/2)x
90-2x = (5/2)x
(5/2)x + 2 = 90
(9/2) x = 90
x = 10
y = (5/2)x
y = (5/2)×10
y = 25
=======================
Hence the present age of the person is 25 years.
and that of either son be x years ;
Average = (y+x+x)/3
30+3 = 2x+y
90 = 2x+y
y = 90-2x
Ratio
= y:x = 5:2
y/x = 5/2
2y = 5x
y = (5/2)x
90-2x = (5/2)x
(5/2)x + 2 = 90
(9/2) x = 90
x = 10
y = (5/2)x
y = (5/2)×10
y = 25
=======================
Hence the present age of the person is 25 years.
Answered by
1
Answer:
Step-by-step explanation:
Sum=90 years
Ratio =5:2:2 (becoz both sons born on the same day)
9x=90
Thn 1x=10
5x=50 (father age)
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