Question

A two dijit no is such that the product of its digits is 12 and when 36 is added it reverses​

Answer 1

Answer:

Step-by-step explanation:

Let the digits be x and y

xy = 12 ……. I

The number is 10x+y

So, (10x + y) + 36 = 10y + x

then: 9x - 9y = -36

Divide through by 9

So, x - y = -4 ……. II

x = y - 4 ….. III

put III in I

(y - 4)y = 12

y²- 4y -12 = 0

(y² - 6y) + (2y - 12) = 0

y(y - 6) + 2(y - 6) = 0

y = -2 or y = 6

From III, x = y - 4

When y = -2,

x = -2 - 4 = -6

When y = 6

x = 6 - 4 = 2

(x,y) = (-6, -2) or (2, 6)

Therefore, the number 10x + y

Is, 10(-6) + (-2) = -60–2= -62

And, 10(2) + (6) = 26

Check: 6 x 2 = 12 and -6 x (-2) = 12

Also: -62 + 36 = -26

And: 26 + 36 = 62

The number is -62 or 26

Answer 2

The number is -62 or 26

Thanks!!!!