Question

18. 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.
please give answer​

Answer 1

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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