Math, asked by SamratYash1256, 1 year ago

Asha and 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?

Answers

Answered by Anonymous
2
Hi !

Let Disha's age is 10x+y years
So,
 husband's age is 10 y+x years.
A.T.Q ,

(10y+x)-(10x+y) =1/11 {(10y+x)+(10x+y)}

 -9x+9y = 1/11(11x+11y)
 -9x+9y = x+y
-9x - x = y - 9y

-10x = -8 y

 x/y = 4/5

 x= 4 b , y = 5 b 

∴  Disha's age = 10(4b)+5b = 45b

Husband's age =  10(5b)+4b = 54 b

 Disha's age is 45 years
 Husband's age is 54 years.

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