Question

The unit digit of a two number exceeds its tens' digit by 6 and the product of two digits is less by 12 from the number . ​

Answer 1

❤Holå mate❤

✏ANSWER✍

Let , the digit in tens' place = x

then,the digit in units place =

(X+6)

then the no is = 10x + (X + 6)

✒ by the condition ✍

X(X+6)=10x + (X + 6) - 12

Or, X² + 6x = 10x + X + 6 – 12

Or, X² + 6x = 11x –6

Or,X² + 6x – 11x + 6 = 0

Or, X² – 5x + 6 = 0.

✨this is the required Quadratic Equation. ✨

✌Hope it's help you✌

Answer 2

Let uq be x.

Then,

Two digit no be 10x+y

y-x=6(given). ..........(i)

product xy

(10x+y)-xy=12(given)

10x+y=12+xy. ............(ii)

Solving i and ii simultaneously

from i we get y is x-6. ........(iii)

Solving we will get 36 as answer.