i am 3 times as old as my son 15 years later i shall be two times as old as my son how old am i and how old is my son
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Answer:
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Step-by-step explanation:
10th
Maths
Pair of Linear Equations in Two Variables
Algebraic Solution of a Pair of Linear Equations
I am three times as old as ...
MATHS
I am three times as old as my son. Five years later, I shall be two and a half times as old as my son. How old am I and how old is my son?
November 22, 2019
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Kiran Bhatia
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ANSWER
Suppose my age is x years and my son's age is y years. Then,
x=3y ..(i)
Five years later, my age will be (x+5) years and my son's age will be (y+5) years.
∴x+5=(2+
2
1
)(y+5) [Given]
⇒2x−5y−15=0 .....(ii)
Putting x=3y in equation (ii), we get
6y−5y−15=0⇒y=15
Putting y=15 in equation (i), we get
x=45
Hence, my present age is 45 years and my son's present age is 15 years
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