Question

In a two digit number the sum of two digits is 8 if 18 is added to the number the digits are reversed find the number​

Answer 1

Answer:

If 18 is added to the number, the digits change their places. Hence, the number is 35

Answer 2

Question:−

In a two digit number the sum of two digits is 8 . If 18 is added to the number it's digits are reversed . find the number ?

$\bf\huge\mathfrak{\red{\underline{\underline{Given:-}}}} </p><p></p><p>$

sum of 2 digit is =8

If 18 is added to the number it's digits are reversed.

$\bf\huge\mathfrak{\orange{\underline{\underline{To\:Find:-}}}} </p><p>$

number =?

$\bf\large\mathfrak{\pink{\underline{\underline{Solution:-}}}} </p><p>$

Let ,

the 1st digit be x

10th digit of 2 number be (x-8)

on reversing 10x(x+8)

$\bf\large\mathfrak{\green{\underline{\underline{According\:To\: Question:-}}}}$

$\begin{gathered}\tt→ 10x+(8-x)+18=10(8-x)+x\\\tt→ 10x+8-x+18=80x-x\\\tt→ 9x+26=80-9x\\\tt→ 18x=54\\\tt→x=\frac{54}{18}\end{gathered}$

$\bf\huge\mathfrak{\blue{\underline{\underline{Hence:-}}}} </p><p></p><p>$

The required number is 3.