Hector used the following clues to find an unknown 3 digit number. My tens digit is one less than my hundreds digit. My hundreds digit is 7. The sum of my ones digit and my tens digit is 8. What is the number?

762

Step-by-step explanation:

Let,

abc is an unknown 3 digit number in that

a = hundredth digit

b = tenth digit

c = ones digit

Given,

a = 7

c + b = 8

b = a - 1

So we known,

a = 7 and b - 1 = a such that b = 7 - 1 which make b = 6

Since b = 6 and c + b = 8 then c + 6 = 8 which make c = 2

And the number is abc or 762