Question

In two digit num the unit digit exceeds its ten's digit by 1, and product of given num and its tens digit is 280. find number.
Pls help real quick.. ​

Answer 1

Answer:

56

Step-by-step explanation:

let the digit in tens place be=x

then the digit in units place=x+1

therefore the no. is= 10x+(x+1)

=11x+1

From the question,we get,

(11x+1)(x)=280

$11{x}^{2} + x - 280 = 0$

$11 {x}^{2} + 56x - 55x - 280 = 0$

x(11x+56)-5(11x+56)=0

(x-5)(11x+56)=0

x-5=0 or 11x+56=0

x=5 or x=-56/11 (we will discard -56/11)

there x=5

the number is = 11x+1

=11(5)+1

=55+1

=56