Answer:
- The numbers are 5, 6, and 7. The smallest number is 5.
Explanation:
Given :-
- The sum of three consecutive numbers is 18.
To Find :-
Solution :-
➊ To find the smallest number, let us consider the three consecutive numbers be x, x + 1, and x + 2.
Given :
- Sum of the numbers = 18.
- Numbers = x, x + 1, and x + 2.
According to the question,
↦ x + x + 1 + x + 2 = 18
↦ 3x + 3 = 18
↦ 3x = 18 - 3
↦ 3x = 15
↦ x = 15/3
➦ x = 5
∴ Hence, the required value of x is 5.
➋ Now we have the value of x. So, by putting the value of x in the assumed numbers we will find out the numbers and then check which is the smallest number.
➲ First number = x = 5.
➲ Second number = x + 1 = 5 + 1 = 6.
➲ Third number = x + 2 = 5 + 2 = 7.
∴ Hence, the smallest number is 5.
✻ Verification ✻
↦ x + x + 1 + x + 2 = 18
Putting x = 5 we get,
↦ 5 + 5 + 1 + 5 + 2 = 18
↦ 5 + 6 + 7 = 18
↦ 18 = 18
➦ LHS = RHS
∴ Hence, Verified ✔