Question

the sum of the digits of a 2 digit number is 6 if the digits of the number are reversed, the number decreased by 36 . find the number

Answer 1

Answer:

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so here we go

Step-by-step explanation:

let the required two digit number be 10x+y

wherein digit at tens place is x and that of units place is y

so thus number obtained by reversing digits is

10y+x

according to the first condition

x+y=6 (1)

according to the second condition

10y+x=10x+y-36

ie 9x-9y=36

so x-y=4 (2)

adding (1) and (2)

we get

x+y=6

x-y=4

______

2x=10

ie x=5

so now substitute value of x in any of two equations

we get

y=1

so our required two digit number=10x+y

=(10×5)+1

=50+1

=51

hence our required two digit number is 51