Question

The sum of three consecutive multiples of 5 is 555 . Find the multiples???

Answer 1

Answer:

The sum of three consecutive multiples of 5 is 555 . Find the multiples???

Answer 2

Solution:—

We need to assume a variable for the unknown. Here we have three unknowns. But they are related to each other.

If we assume the first multiple of 5 to be x, the other two multiples can be written as x + 5 and x + 10 because they are the three consecutive multiples of 5.

The sum of the consecutive multiples of is given as 555.

Therefore, x + (x + 5) + (x + 10) = 555

→ 3x + 15 = 555

→ 3x = 555 – 15 (Transposing 15)

→ = 540

→ x = 540/3 (Dividing both sides by 3)

→ x = 180

Hence, the required multiples of 5 are 180, 185 and 190.

Let's check !

Adding these three numbers, we get

180 + 185 + 190 = 555

Therefore, the three consecutive multiples of 5 whose sum is 555 are 180, 185 and 190. Our solution is correct.

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Note : You may verify the solution by substituting the values obtained as answer in the equation framed by you. However, your equation apply the condition of the question to the solution.

Alternative method :

We can also assume three consecutive multiples of 5 to be 5x , 5x + 5 and 5x + 10.

Now , we frame the equation as

5x + (5x + 5) + (5x + 10) = 555

→ 15x + 15 = 555

→ 15x = 555 – 15 = 540

→ x = 540/15

→ x = 36

Therefore, the three required multiples of 5 are 5x = 5 × 36 = 180

5x + 5 = 180 + 5 = 185

5x + 10 = 180 + 10 = 190