Asked by kd

A two digit number is such that, the sum of its digits is 13. When the digits are interchanged, the original number is increased by 9. Find the original number.
Answered by Reiny
for the original number:
unit digit --- x
tens digit --- y
the original number is 10y+x

reversed number:
unit digit --- y
tens digit --- x
reversed number is 10x + y

10y+x - (10x+y) = 9
9y - 9x = 9
x - y = 1 , but
x + y = 13
add them:
2x = 14
So x = 7 and y = 6
The original number is 67
Answered by Max
Why is x not a tens digit and yet it is in the tens alignment
Answered by Anonymous
Wrong alignment, the original number is increased by 9←means you take the reversed number which is 10x+y-(10y+x)=9 instead of your computation, check it
Answered by Frank
Good ans thank you
Answered by Roy
What if the number is 19 which will be reversed number?
Answered by Qowla
I don't get where this 10 is from??
Answered by Wendy
Where has 10 come from
Answered by Gabriel
Where does this 10 come from
Answered by Rina
XY x=ones y=tens 10y+x reverse 10x+y 10y+x-(10x+y)=9. 9y-9x=9. x-y=1. x+y=13 2x=14 x =7,y=6 answ=67

Answered by RAYOO
How did you get the 6?
Answered by Lumbile
You have complicated on the place where you assign the place value
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