MathDB

TOT 119 1986 Autumn J1 find 2-digit numbers , one is twice as big as the other

Source:

August 29, 2019

number theoryDigits2-digitSumDifference

Problem Statement

We are given two two-digit numbers ,

x

and

y

. It is known that

x

is twice as big as

y

. One of the digits of

y

is the sum, while the other digit of

y

is the difference, of the digits of

x

. Find the values of

x

and

y

, proving that there are no others.