Question

a two digit number can be obtained either multiplying the sum of the digits by 8 or multiplying the. difference of the digits by 14 and adding 2 . find the number​

Answer 1

Answer:

Sol:

Let the two digit number be 10x + y.

Two digit number is obtained by multiplying sum of the digits by 8 and adding 1

⇒ 10x + y = 8(x + y) + 1

⇒ 2x - 7y = 1 ---------------- (1)

Two digit number is obtained by multiplying the difference of the digits by 13 and adding 2

⇒10x + y = 13(x - y) + 2

⇒ 3x - 14y = -2 ----------- (2)

Solving equations 1 and 2, we get x = 4 and y = 1.

Therefore, the two digit number is 41.

Step-by-step explanation: