#### Question

Find three conescutive whole numbers whose sum is more than 45 but less than 54.

#### Solution

Let the three conescutive whole number be x, x + 1, x + 2.

From the given information,

45 < x + (x + 1) + ( x + 2) and x + (x + 1) + (x + 2) < 54

45 < 3x + 3 and 3x + 3 < 54

42 < 3x and 3x < 51

14 < x and x < 17

x = 15,16

If x = 15,

∴ The other two numbers are 16 and 17.

If x = 16,

∴ The other two numbers are 17 and 18.

Hence, three conescutive whole numbers are 15, 16, 17 or 16, 17, 18.

Is there an error in this question or solution?

Solution Find Three Conescutive Whole Numbers Whose Sum is More than 45 but Less than 54. Concept: Word Problems of Equation in One Variable.