five years ago a man was thrice as old ashis sonand 10 years laterhe shall be twice as old as his son find present age. please guys answer immediately
Answers
Answered by
8
Answer:
40
Step-by-step explanation:
Age of the son =x
Age of the father=7x
Present ages=x+5 and 7x+5
future age of the son=x+10
father=7x+10
7x+10=3(x+10)
x=5
7x=35
x+5=5+5=10
son age =10
father age =7x+5=7*5+5=40
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Answered by
12
Let the
=> present ages of son = 'x'years
=> present age of man = 'y'years
A to Q:-
5 years ago,
Their ages were -
Son = (x - 5) years
Man = (y - 5) years
.According to 1st condition :-
(y - 5) = 3(x - 5)
y - 5 = 3x - 15
3x - y = 10
y = 3x - 10. ----(1)
10 yrs later,
Son = (x + 10) yrs
Man = ( y + 10) yrs
According to 2nd Condition :-
(y + 10) = 2(x + 10)
y + 10 = 2x + 20
y - 2x = 20 -10
y - 2x = 10. ----(2)
Put the value of (1) in (2), we get,
(3x - 10) - 2x = 10
3x - 10 -2x = 10
x = 10 +10 = 20
x = 20. ------(3)
Put (3) in (1),we get,
y - 2(20) = 10
y = 10 + 40 = 50
y = 50
Hence,
Son = x = 20 yrs
Man = y = 50 yrs
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