## 18. A two digit number is obtained by multiplying the sum of the digits by 8. Also, it is obtained by multiplying the differ

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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