Question

the sum of three consecutive multiples of 7is 357. find the smallest multiple ​

Answer 1

Answer:

The smallest multiple is 112

Step-by-step explanation:

Let us take three consecutive multiples of 7 as,

• 7x
• 7x + 7
• 7x + 14

★ According to the question :

The sum of three consecutive multiples of 7 is 357

So,

⇒ 7x + (7x + 7) + (7x + 14) = 357

⇒ 21x + 21 = 357

⇒ 21x = 357 - 21

⇒ 21x = 336

⇒ x = 336 / 21

⇒ x = 16

★ Value of 7x :

⇒ 7 (16)

⇒ 112

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★ 7x + 7 :

⇒ 112 + 7

⇒ 119

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★ 7x + 14 :

⇒ 112 + 14

⇒ 126

Therefore,

The smallest multiple is 112

Answer 2

Answer :

= 3 consecutive multiple will be 7x , 7x + 7 and 7x + 14

☯ It is given that the sum of three consecutive multiples of 7 is 357 .

Now , ACCORDING TO THE QUESTION

• $\sf 7x\:+\:7x\:+\:7x\:+\:7\:+\:7x\:+\:14\:=\:357$

• $\sf 21x\:+\:21\:=\:357$

• $\sf 21(\:x\:+\:1)\:=\:357$

• $\sf x\:+\:1\:=\: \dfrac{357}{21}$

• $\sf x\:+\:1\:=\:17$

• $\sf x\:=\:17\:-\:1$

• x = 16

☯ Now , let us find the multiples :

★ 7x = 7(16) = 112

★ 7x + 7 = 7(16) + 7 = 112 + 7 = 119

★ 7x + 14 = 7(16) + 14 = 112 + 14 = 126

• Therefore , multiples are 112 , 119 and 126 .

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• Smallest multiple is 112

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