Four consecutive multiples of 5 add up to 4130 what is the largest number?

Answer 1

To find multiples of a number we multiply that number with natural numbers, 1, 2, 3, 4, ... .

Since those natural numbers are also called the consecutive positive integers, let's denote with x the first of the four consecutive positive integers whose product with 5 add up to 4,130. So we are adding these multiples of 5:

5x + 5(x + 1) + 5(x + 2) + 5 (x + 3) = 4,130

5x + 5x + 5 + 5x + 10 + 5x + 15 = 4,130

20x + 30 = 4,130

20x = 4,100

x = 205

Since we are interested for the largest multiple, then we have:

x + 3 = 205 + 3 = 208

5 x 208 = 1,040.

Thus, the largest number is 1,040.