Question

The sum of 5 consecutive multiples of 6 is 2040. Find largest multiple

Answer 1

Answer:

420

Step-by-step explanation:

6*x+6*(x+1)+6*(x+2)+6*(x+3)+6*(x+4)=2040

6*(5x+10)=2040

5x+10=340

5x=330

x=66

Now largest number is 6*(66+4)=6*70=420

Answer 2

The value of largest multiple 6 is equal to 420.

Step-by-step explanation:

Let the 5 consecutive multiples of 6 are:

6x, 6x + 6, 6x + 12, 6x + 18 and 6x + 24.

Find, the value of largest multiple 6 = ?

According to question,

6x + 6x + 6 + 6x + 12 + 6x + 18 + 6x + 24 = 2040

⇒ 30x + 60 = 2040

⇒ 30x = 2040 - 60

⇒ 30x = 1980

⇒ x = 66

∴The value of largest multiple 6 = 6x + 24

= 6(66) + 24

= 396 + 24

= 420

Thus, the value of largest multiple 6 is equal to 420.