Question

a two digit number is 5 times of sum of its digit and it is also equal to 5 more than twice the product of its digit find the number

Answer 1

Answer:

Good Luck :)

Step-by-step explanation:

Let the 2 digit number be 10x+y

given : 10x+y = 5(x+y)

         5x -4y = 0  --------(1)

Also 10x+y = 5+2xy

putting y = 5x/4 from equation (1)

10x + 5x/4 = 5 + 2x(5x/4)

(45x)/4 = 5 + (5x2 )/2

45x = 20 + 10x2

10x2  -45x +20 =0

2x2  -9x +4 =0

(x-4)(2x-1) = 0

hence x = 4 or 1/2

but x is an integer. so x=4

y = 5x/4= 5

the number is 10x + y = 40+5=45