A number exceeds another number by 5, the sum of the numbers is 19. Find the smaller number?
- 2
- 5
- 7
- None of these
Explanation
Let's denote the smaller number as x and the larger number as y.Given that one number exceeds the other by 5:
y = x + 5
The sum of the numbers is 19:
x + y = 19
Substituting y = x + 5 into the equation:
x + (x + 5) = 19
2x + 5 = 19
2x = 14
x = 7
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