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At present the sum of Monica's age and her daughter’s age is 44 years. After 2 years, Monica's age will be three times that of her daughter’s age. Find their present ages.

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Age of Monica is 34 years and the age of her daughter is 10 years

Age of Monica is 35 years and the age of her daughter is 11 years

Age of Monica is 36 years and the age of her daughter is 12 years

Age of Monica is 37 years and the age of her daughter is 12 years

answer is A.

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Detailed Solution

Concept- First, we assume that the present ages of Monica and her daughter are

and

, respectively. Then, we form equations according to the given conditions and solve them.
Consider the present ages of Monica and her daughter as

and

, respectively.
Sum of their ages

years

After 2 years,
age of Monica will be years

years
age of Monica’s daughter will be

years
According to the given conditions,

When putting the value of

in the equation

, we get

Therefore, age of daughter

years
Now, the age of Monica is

Therefore, the present ages of Monica and her daughter are 34 years and 10 years, respectively.
Hence, the correct answer is option 1) Monica is 34 years and the age of her daughter is 10 years.
of a Linear Equation
of a Linear Equation

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