The sum of the digits of a two-digit number
is 9. If 45 is added to the number, the digits are
interchanged. Find the number.
Answers
Answered by
7
Answer:
Step-by-step explanation:
▪Let the digit at ones place be 'x '
▪Let the digit at tens place be 'y'
♦Number formed => x + 10 y .....................(1)
➰According to the given question:
===============================
x + y = 9
y = 9 - x .......................(2)
x + 10 y + 45 = 10x + y
-9x + 9y + 45 = 0
From (2)
-9x + 9 ( 9 - x ) + 45 = 0
-9x + 81 - 9x + 45 = 0
-18x + 126 = 0
-18x = -126
=> x = 7
========
From (2)
y = 9 - 7
y = 2
=====
▪◾Number is x + 10y
=>> 7 + 10(2)
=>> 7 + 20
=> 27
♦Hence the Number is 27 ✔
Follow me
Similar questions