The sum of Present ages of aunty and her daughter sana is 70 years. Six
years ago, the age of aunty was seven times the age of daughter sana . Find the present age of daughter and aunty .
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Answer:
Solve the pair of linear equations to get x and y
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Let x and y be the present age of mother and her daughter.
Therefore,
x+y=50
⇒x=50−y(1)
After 20 years, mother's age will be twice her daughter's age at the time.
x+20=2(y+20)
⇒x−2y=20.(2)
From equation (1)&(2), we have
50−y−2y=20
3y=30
⇒y=10
Substituting the value of y in equation (1), we get
x=50−10=40
Hence the present age of mother and her daughter is 40 and 10 years respectively.
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