a number consists of two digits whose sum is 8 if 18 is added to the number its digits are reversed find the number?? Answer pls
Answers
If 18 is added to the number, the digits change their places. Hence, the number is 35.
A number consists of two digits whose sum is 8 if 18 is added to the number its digits are reversed find the number ?
Let one digit of the number be x , then its ten digits digits will be (8−x) .
So , given number =10(8−x)+x
=80−10x+x
=80−9x
Now if digits are reversed , then Number obtained
=10x+(8−x)
=10x+8−x
=9x+8
According to question
(80−9x)+18=9x+8
98−9x=9x+8
90=18x
x=5
⇒ given number =80−9x
=80−9×5
=80−45
=35
∴ the number is 35