Question

A two digit number is obtained by multiplying the
sum of the digits by 8. Also, it is obtained by
multiplying the difference of the digits by 14 and
adding 2. Find the number.
​

Answer 1

Answer:

Let two digit number be 10x+y

Given 10x+y=(x+y)8−−−−−−−−(1)

⟹14∣x−y∣+2=100x+y, let x>y

⟹14(x−y)+2=10x+y

⟹4x−15y+2=0−−−−−−−−(2)

from (1) 2x=7y−−−−−−−−(3)

From (2) & (3)

14y−15y+2=0

y=2

When y=2,x=7

So number is 72.

Step-by-step explanation:

answer is 72