Question

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 1

Step-by-step explanation:

hope it would be useful

Answer 2

Answer:

Let the digit at ones place be ‘x’

Then the digit at tens place = 8 – x (sum of the two digits is 8)

Therefore number 10 (8 – x) + x = 80 – 10x + x = 80 – 9x —— (1)

Now, number obtained by reversing the digits = 10 ×(x) + (8 – x)

= 10x + 8 – x = 9x + 8

It is given that if 18 is added to the number its digits are reversed

∴ number + 18 = Number obtained by reversing the digits

⇒ (80 – 9x) + 18 = 9x + 8

98 – 9x = 9x + 8

98 – 8 = 9x + 9x

90 = 18x

x =

90

18 = 5

By substituting the value of x in equation (1) we get the number

∴ Number = 80 – 9 × 5 = 80 – 45 = 35.