Question

Q.6 The ten's digit and one's digit of a two digit numbers are same. If the number is added to its
reverse, the sum is 132. What is the Number?​

Answer 1

Answer:

Let the tens digit be x. 

Hence, the units digit will be 2x

Number =10×(x)+(2x)=12x

When 36 is added to the number, the new number formed =12x+36

As the digits are reversed, we can also write the new number as 10×(2x)+x=21x

$</p><p>12x+36=10×(2x)+x \\ </p><p>⇒12x+36=21x \\ </p><p>⇒21x−12x=36 \\ </p><p>⇒9x=36 \\ </p><p>⇒x=4 \\ </p><p></p><p>$

Hence , the other number is 4

Answer 2

$\longrightarrow\underline{\underline{\red{\sf{solution}}}}$

$\sf \: xx= 10x + x = 132$

$\sf \: 22x = 132$

$\sf \: x = \frac{132}{22}$

$\sf \: x = 6$

$\sf \: two \: digit \: number = xx = 66$