Age Wise

In the year 2021, someone born in 19 x y \overline{19xy} is y x \overline{yx} old. What is x + y x + y ?


The answer is 11.

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1 solution

Saya Suka
Mar 24, 2021

<19xy> + <yx> = 2021
2021 = [ 1900 + 10x + y ] + [ 10y + x ]
= 1900 + 10(x + y) + y + x
2021 - 1900 = 10 × (x + y) + 1 × (y + x)
121 = (10 + 1) × (x + y)
= 11(x + y)
x + y = 121 / 11 = 11


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