Question

the sum of three consecutive multiples of 11 is 363 . find the multiple​

Answer 1

Answer: Let the multiples be 11x, 11x +11, and 11x + 22.

Step-by-step explanation:

Answer 2

AnswEr :

⠀

☑ Given :

• Sum of three Consecutive Multiples of 11 is 363.

☑ To Find :

• Find the Multiples.

☑ Solution :

Let the Multiples Be :

• x
• (x + 11)
• (x + 2 × 11) = (x + 22)

A.T.Q.

➟ x + (x + 11) + (x + 22) = 363

➟ 3x + 33 = 363

➟ 3x = 363 - 33

➟ 3x = 330

➟ x = $\large \tt{ \cancel\frac{330}{3} }$

➟ x = 110

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◧ 1st Multiple = x = 110

◧ 2nd Multiple = (x + 11) = (110 + 11) = 121

◧ 3rd Multiple = (x + 22) = (110 + 22) = 132

$\large\therefore$ The Three Consecutive Multiples of 11 whose sum is 363 are 110, 121 and 132.