2023 Mathematics Competition
Question 29
Login To Post Your Comment
3 comments
Akinola Ajayi
1 year ago
Let the first digit be x
Let the second digital be y
Therefore the number is 10x+y
When reversed the number is 10y+x
(10x+y)-(10y+x) =18>>>>i
x+y=4>>>>ii
From eqn i
10x-x-10y-y=18
9(x-y)=18
Divide both side by 9
x-y=2>>>>iii
Solve eqn ii and iii simultaneously
x+y=4>>>ii
x-y=2>>>iii
Add ii and iii
x+x+y-y=4+2
2x=6
Divide both side by 2
Therefore x=3
Sub x=3 into eqn ii
3+y=4
y=4-3
y=1
Therefore the numbers are 10(3)+1 or 10(1)+3
31 or 13