The sum of a two digit no. is 10. If 36 is subtracted from the number, the digits interchange their places. Find the no.
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Let the tens place digit of two digit nu mber be x and units place digit be y
so x+y=10
10x + y+36=10y+x
9x-9y=36
x-y=4
by adding equations above we get 2x=14
x=7
y=4
so the number is 74
so x+y=10
10x + y+36=10y+x
9x-9y=36
x-y=4
by adding equations above we get 2x=14
x=7
y=4
so the number is 74
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