Question

A 2 digit no. is such that the product of its digit is 14.If 45 is added to the no.the digits interchange their places.Find the no.​

Answer 1

Answer:

27

Step-by-step explanation:

Let nos be x and y

xy + 45 = yx

(10x + y) + 45 = 10y + x. (both are in 10s place)

9x - 9y + 45 = 0

x - y + 5 = 0. (divide eq. by 9). Let it be eq.2

eq.1 xy = 14

From eq. 1 we get,

y=14/x

Substituting, we get,

x - 14/x + 5 = 0. (lcm =x)

x^2 + 5x -14 = 0. (multiply eq. by x)

Solving the eq. we get

x = 2,-7 and y = 7, -2

hence, number is 27

Hope it helps you ;)

Answer 2

Step-by-step explanation:

I hope this will help you