Pooja and Esha met each other after long time. In the course
of their conversation, Pooja asked

Esha her age. Esha replied, "If you reverse my age, you will
get my husbund's age. He is of course

older than me. Also, the difference between our age is
1/11th of the sum of our age."

Can you help out Pooja in finding Esha's age?



Pooja and Esha met each other after long time. In the course of their conversation, Pooja asked ..

Answer / guest

Esha's age is 45 years.

Assume that Esha's age is 10X+Y years. Hence, her hunsbands
age is (10Y + X) years.

It is given that difference between their age is 1/11th of
the sum of their age. Hence,

[(10Y + X) - (10X + Y)] = (1/11)[(10Y + X) + (10X + Y)]

(9Y - 9X) = (1/11)(11X + 11Y)

9Y - 9X = X + Y

8Y = 10X

4Y = 5X

Hence, the possible values are X=4, Y=5 and Esha's age is 45
years.

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