Question

the sum of the digits of a two digit no is 8. if interchanged, new number is this 10 more than double the original number. Find the original number​

Answer 1

Answer:

x+y=8

y=8-x==>>>>>©

Step-by-step explanation:

xy=number

yx=2(xy)+10

=>>>

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

10y+x=20x+2y+10

20x-x+10=10y-2y

19x+10=8y

substitute © here

19x+10=8(8-x)

19x+10=64-8x

19x+8x=64-10

27x=54

x=54/27

x=2

y=8-x=8-2

y=6

hence the answer xy=26

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