Question

A two-digit number is seven times the sum of its digits and is also equal to 12 less than three times the product of its digits. Find the number. with elimination method​

Answer 1

Answer:

Answer is 84,refer to the attachment

Answer 2

Answer:

Number = 84

Step-by-step explanation:

a two digit number is 7 times the sum of its digits and is also equal to 12 less than three times the product of its digit.

Let say number = xy

Value of number = 10x + y

Sum of digit = x + y

10x + y = 7 ( x + y)

=> 3x = 6y

=> x = 2y

Product of digits = xy

Three times the product of digits = 3xy

10x + y = 3xy - 12

Putting x = 2y

=> 20y + y = 6y² - 12

=> 6y² -21 y - 12 = 0

=> 2y² - 7y - 4 = 0

=> 2y² - 8y + y - 4 = 0

=> 2y(y - 4) + 1(y -4) = 0

=> (2y + 1)(y -4) = 0

=> y = 4

x = 2y = 8

PLZ LIKE THIS ANSWAER IS CORRECT MY NAME IS PREET