Find three consecutive whole numbers whose sum is more than 45 but les

1.	Find three consecutive whole numbers whose sum is more than 45 but less than 54.
Answer» Let the three consecutive whole numbers be (x – 1), x and (x + 1). ∴ Sum of the three numbers = (x – 1) + x + (x + 1) = 3x Given that, the sum of the three numbers is greater than 45 and less than 54. When the sum of the three numbers is 45, 3x = 45 ∴ x = 45/3 ∴ x = 15 When the sum of the three numbers is 54, ∴ 3x = 54 ∴ x = 54/3 ∴ x = 18 ∴ the value of x is greater than 15 and less than 18. ∴ the value of x is either 16 or 17. Case I: If the value of x is 16, then the three consecutive whole numbers are (16 – 1), 16,(16 + 1)i.e., 15, 16, 17 Case II: If the value of x is 17, then the three consecutive whole numbers are (17 – 1), 17, (17 + 1) i.e., 16, 17, 18. ∴ The three consecutive whole numbers are 15, 16, 17 or 16, 17, 18.

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

Answer»

Let the three consecutive whole numbers be (x – 1),

x and (x + 1).

∴ Sum of the three numbers

= (x – 1) + x + (x + 1)

= 3x

Given that, the sum of the three numbers is greater than 45 and less than 54.

When the sum of the three numbers is 45,

3x = 45

∴ x = 45/3

∴ x = 15

When the sum of the three numbers is 54,

∴ 3x = 54

∴ x = 54/3

∴ x = 18

∴ the value of x is greater than 15 and less than 18.

∴ the value of x is either 16 or 17.

Case I:

If the value of x is 16, then the three consecutive whole numbers are (16 – 1), 16,(16 + 1)i.e., 15, 16, 17

Case II:

If the value of x is 17, then the three consecutive whole numbers are (17 – 1), 17, (17 + 1)

i.e., 16, 17, 18.

∴ The three consecutive whole numbers are 15, 16, 17 or 16, 17, 18.