Question

❤only geniues❤

a two digit number is 4 times the sum of digits if is also equal to 3 times the product of digits find the number?

step by step explanation...

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Let the tens digit be x and the units digit be y

the two-digit number is (10x + y).

Two-digit number = 4 times sum of its digits

⇒10x + y = 4(x + y)

⇒ 10x + y = 4x + 4y

⇒ 6x = 3y

⇒ y = 2x


Two-digit number = three time the product of its digits

⇒ 10x + y = 3(xy)

⇒10x + y – 3xy = 0 … (2)

Substituting  from equation (1) in equation (2), we get

⇒10x + y – 3xy = 0 … (2)

=> 10x + 2x -6x²

=> 6x ( 2- x ) = 0

so 2-x = 0 then x = 2

hence, y = 2x = 4

therefore number is 24