Question

a number consits of two digit whose sum is 14 if 18 is subtracted to it the digits are reversed.what are number

Answer 1

Here..Let the no. at tens place is X n unit place is Y

X+Y=14

Now for any 2 digit no.

10X+Y is the solution

So if 18 is subtracted then number is reversed

10X+Y-18=10Y+X

so

9X-9Y-18=0

X-Y-2=0

X+Y=14

x-y=2

thus the numbers are 8 and 6

the whole number is 10x+Y=10×8+6=86