age of radha is one third of the age of her father. Express this statement as linear equations in two variables
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Let the present age of father's be x years and present age of son's be y years.
According to the problem
x=6y
After 4 years
x+4=4(y+4)
Hence we get two equations
x=6y ......... (1)
x+4=4(y+4) ..... (2)
Simplifying eq (2)
x+4=4y+16
x−4y=12
Put x=6y in eq (2), we get
6y−4y=12
2y=12
y=6 years
and x=6y=36 years
Present age of son =6 years
and present age of father =36 years
Answered by
1
Answer:
Let the present age of father's be x years and present age of son's be y years.
According to the problem
x=6y
After 4 years
x+4=4(y+4)
Hence we get two equations
x=6y ......... (1)
x+4=4(y+4) ..... (2)
Simplifying eq (2)
x+4=4y+16
x−4y=12
Put x=6y in eq (2), we get
6y−4y=12
2y=12
y=6 years
and x=6y=36 years
Present age of son =6 years
and present age of father =36 years
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