Question

The sum of three consecutive multiples of 13 is 819. Find the multiples.​

Answer 1

Answer:

260, 273, 276

Explanation:

Given that the sum of 3 consecutive multiples of 13 is 819.

Let the three consecutive multiples of 13 be x, x + 13 and x + 26

➡ x + x + 13 + x + 26 = 819

➡ 3x + 39 = 819

➡ 3x = 819 - 39

➡ 3x = 780

➡ x = 780/3

➡ x = 260

Hence, the consecutive multiples are :-

x = 260

x + 13 = 260 + 13 = 273

x + 26 = 260 + 26 = 276

Answer 2

• Multiples are 260, 273 and 286 respectively.

Explanation:

Given:-

• Sum of three consecutive multiples of 13 is 819.

To find:-

• Multiples.

Solution:-

• Three multiples of 13 are 13, 26 and 52.

Let,

Multiples of 13 be x , x + 13 and x + 26.

So, According to question :

➝ x + x + 13 + x + 26 = 819

➝ 3x + 39 = 819

➝ 3x = 819 - 39

➝ 3x = 780

➝ x = 780/3

➝ x = 260

Verification:-

➝ x + x + 13 + x + 26 = 819

• Put x = 260

➝ 260 + 260 + 13 + 260 + 26 = 819

➝ 270 + 273 + 286 = 819

➝ 819 = 819

Hence, Verified.

So,

x = 260

x + 13 = 273

x + 26 = 286

Therefore,

Multiples will be 260, 273 and 286 respectively.