Question

( 2 2 2
(2x -5y )(x+3y )
​

Answer 1

Step-by-step explanation:

⋆Question⋆

Sum of the digits of a two-digit number is 12. The given number exceeds the number obtained by interchanging the digits by 36. Find the given

number.

\huge\star{\red {A}{nswer}}\star\:⋆Answer⋆

\huge\underline {Let,}

Let,

The tens digit of the required number be x

and the units digit be y

\huge\underline {Then,}

Then,

x + y = 12 ......... eq. (1)

Required number = (10x + y)

Number obtained on reversing the digits = (10y + x)

\huge\underline {Therefore,}

Therefore,

(10y + x) - (10x + y) = 18

9y - 9x = 18

x - y = 12 ......... eq. (2)<br>

On adding eq. (1) and eq. (2)

\huge\underline {We\: get}

Weget

x + y + y - x = 12 +2

2y = 14

y = 2

\huge\underline {Therefore}

Therefore

x = 5

Hence, the required number is 57

\huge\green{ Hope\: this\: helps\: you}Hopethishelpsyou

Answer 2

2x+2+6xy−5x−15y

hope it helps