Five year hence, the age of jacob will be three times that of his son. jacob's age was seven times that of his son . what are their present ages
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SOLUTION:-
Given:
Five years hence, the age of jacob be three times that of his son. Jacob age was 7 times that of his son.
To find:
The present ages.
Explanation:
Let age of son = M years.
Let age of jacob= R years.
According to the question:
Five years hence,
Age of jacob is (R+5) years.
Age of son is (M+5) years
Therefore,
=) (R+5) = 3(M+5)
=) R +5 = 3M +15
=) R -3M = 15 -5
=) R -3M = 10
=) R= 10+ 3M............(1)
Five years ago,
=) (R -5) = 7(M-5)
=) (R -5)= 7M -35
=) 10 +3M -5 = 7M -35 [Using eq.(1)]
=) 3M +5 = 7M -35
=) 3M -7M= -35 -5
=) -4M = -40
=) M= -40/-4
=) M= 10 years
&
Putting the value of M in equation (1), we get;
=) R= 10 +3(10)
=) R= 10 + 30
=) R= 40 years
Hence,
•The son's age is 10 years
•The father's age is 40 years.
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