The sum of the digits of a two-digit number is 6. If 18 is subtracted from the number, the digit of the number are interchanged. Find the number.
Answers
Answered by
2
Step-by-step explanation:
the required no. is 42
hope it helps you
Answered by
147
Given:-
- The sum of the digits of a two-digit number is 6.
- If 18 is subtracted from the number, the digit of the number are interchanged.
To Find:-
- Find the number
Solution:-
Let the ten's digit be x
Let the second digit be y
Number = 10x + y
According to the Question!
x + y = (6)________(1)
10x + y - 18 = 10x + y
9x - 9y = 18
x - y = 2_________(2)
Solving equations (1) and (2) we get!
x = 4
y = 2
Number = 10x + y
Number = 10 × 4 + 2 = 42
Hence,the number is 42.
Similar questions