Question

A number of consist of two digits whose sum is 8.If is18 is added to the number its digits are reversed. find the number.

Answer 1

let x be unit place
y be tenth place

so , number is 10y+x

x+y = 8 --------( 1 )

if 18 added , number reversed

therefore ,

10y+x + 18 = 10x +y

10x -x -10y +y = 18

9x - 9y =18

x - y = 2 -------- ( 2 )

from 1 and 2 we get

2x = 10

x = 5

y = 3

so number is 35

Answer 2

let the digit in tenth place x and at ones place y
then no. is 10x+y
atq,
x+y=8
&
10x+y+18=10y+x
it implies,9x-9y=-18
or
x-y=-2
if u solve the equation s
x will come 3 and y will come 5

and therefore the no. is 10x +y=30+5=35
i hope it helped u friend : )
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