sum of 2-digit number is 6, If we interchange the digits,the resulting new number is less than the original number by 18 .What is this 2-digit number?
Answers
Step-by-step explanation:
The sum of the two digit number is 6 on reversing its digits the new number is 18 less than the original number find the number?
Can you please learn how to use punctuation before posting on Quora again?
Let's set up a system with two variables: x = tens place of our answer, y = units place of our answer.
Digit sum of a two digit number is 6:
x+y=6
Reverse the digits and you get 18 less than the original value:
10y+x=10x+y-18
Now let's solve:
y=6-x
10(6-x)+x=10x+(6-x)-18
60-10x+x=10x+(6-x)-18
60-9x=9x-12
72=18x
x=4
y=6-4
y=2
So our original number was 42. Sum of digits is 6. Swap the order of the digits to make 24, and you have a number 18 less than the original number.
Hope this helps!
Answer:
42 IS THE ANSWER
Step-by-step explanation: