Question

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

Answer 1

let the two digits be 10x + y

two digits number is obtained by multiplying sum of the digits 8 .

10x+y = 8(x+y)

2x=7y ...........(1)

two digits number is obtained by multiplying the difference of the digits by 14 and adding 2

10x+y=14(x-y)+2

2x-15y=-2........(2)

from eq 1 and 2

7y - 15y =-2

-8y = -2

y= -2/-8

y=1/4

And so 2x=7y

7(1/4)

=x=7/8

Answer 2

Answer:

this is the correct answer....72...the process is given below....