Asha & disha met each other after long time. Asha asked disha her age.Disha replied, if you reverse my age, you will get my husband's age. He is older than me. Also the difference between our age is 1/11 of the sum of our age.what would be disha's age?
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Let Disha's age is 10x+y years and then her husband's age is 10y+x years.
Then according to the given question,
(10y+x)-(10x+y)=1/11{(10y+x)+(10x+y)}
or, -9x+9y=1/11(11x+11y)
or, -9x+9y=x+y
or, -9x-x=y-9y
or, -10x=-8y
or, x/y=8/10
or, x/y=4/5
Then x=4k and y=5k
∴, Disha's age: 10(4k)+5k=45k
and her husband's age: 10(5k)+4k=54k
∴, Disha's age is 45 years and her husband's age is 54 years.
Then according to the given question,
(10y+x)-(10x+y)=1/11{(10y+x)+(10x+y)}
or, -9x+9y=1/11(11x+11y)
or, -9x+9y=x+y
or, -9x-x=y-9y
or, -10x=-8y
or, x/y=8/10
or, x/y=4/5
Then x=4k and y=5k
∴, Disha's age: 10(4k)+5k=45k
and her husband's age: 10(5k)+4k=54k
∴, Disha's age is 45 years and her husband's age is 54 years.
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