Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?
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let father's age is X and son's age is Y
then according to question,
@present
son 's age will be 5 times more than his father's age = 5×Y
hence father's age is 30@present
and son's age is 6 @present
then according to question,
@present
son 's age will be 5 times more than his father's age = 5×Y
hence father's age is 30@present
and son's age is 6 @present
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Answer:
According to the statement, 3 years back the father was 24 years older than his son.
Mathematically we can write it like that :
(Y-3)-(X-3) = 24
Now the faher is 5 time older than his son, again we can write it like that :
5x = Y
thats give us a system of linear equation
(Y-3) - ( X - 3) = 24
5X = Y
Where Y is the age of the father and X the age of the son nowadays.
According to this we can easily solve the system by remplacing the Y in the first equation by the 5X in the second equation :
5X -3 - (x - 3) = 24
X= 6
According to X equal 6 we can conclude that X + 3 is the age of the son 3 years from now.
Step-by-step explanation:
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