a mother age after five years will be twice the age of her daughter the differnce of their ages is 19.what is age of mother
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Her mother's age after five years=19×2=38
Her mother's present age=38-5=33
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Answer:
Let daughter age be x
and mother age be y
y - x = 19
y =19 +x
Five years hence,
daughter age = x+5
mother age = y+5
according to the question,
(y+5) = 2(x+5)
y + 5 = 2x + 10
19 + x + 5 = 2x + 10, solved above
24 + x = 2x + 10
x - 2x = 10 - 24
-x = -14
Minus and minus on both side cancel each other
x = 14
substituting in y = x + 19
y = 14 + 19
y = 33
so, mother's age is 33
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