Question

A number consists of two digits. If 18 is added to the number, it's digits are reversed. Find the number?

Answer 1

x × 1 + 18 + x = x × 18 +1 + x
x + 18 x = 18x + x
19x = 19x

Answer 2

$\huge\underline\black{\sf CorrectQuestion :-}$

✬ A number consists of two digits whose sum is 6. If 18 is added to the number, it's digits are reversed. Find the number ✬

Step by Step Explanation:

Given:

• Sum of two digits of a number is 6.
• After adding 18 to number its digits are reversed.

To Find:

• What is the number?

Solution: Let the digit at tens place be x.

∴ Digit at ones place will be (6 – x) and the number formed will be (10x + 6 – x) = (9x + 6)

• After reversing its digits new number formed will be • = 10(6 – x) + x = 60 – 10x + x = (60 – 9x)

A/q

$\small\implies{\sf }$ 9x + 6 + 18 = 60 – 9x

$\small\implies{\sf }$ 9x + 24 = 60 – 9x

$\small\implies{\sf }$ 9x + 9x = 60 – 24

$\small\implies{\sf }$ 18x = 36

$\small\implies{\sf }$ x = 36/18

$\small\implies{\sf }$ x = 2

Hence, The digits of the number are x = 2 and (6 – x) = (6 – 2) = 4

∴ Number is (9x + 6) = 9(2) + 6 = 24