Q6. a) 5 years ago, the age of a man was 7 times the age of his son. After 5 years the age of a
man will be 3 times the age of his son from now. How old are the man and his son now.
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Let the man's age be x
Let the sons age be y
5 years ago.
x-5 = 7(y-5)
x-5 = 7y-35
x-7y = -30-------------> 1
5 years after
x+5=3(y+5)
x+5=3y+15
x-3y=10 -----------> 2
Subtracting eq 2 from eq 1
-4y=-40
y=10
Substituting value of y in eq 2
x-30=10
x=40
Present age of man is 40 years
Present age of son is 10 years
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Answered by
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Answer:
Explanation:
Let the age of man be x
And age of child be y
A/Q
x-5=7(y-5)
X-5=7y-35
x-7y=-30 (1)
After 5 years
X+5=3(y+5)
X+5=3y+15
X-3y=10 (1)
Using elimination method
X-3y=10
X-7y=-30
4y=40
y=10
X-3×10=10
X=40
Therefore age of man is 40yrs and age of son is 10 years
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