Question

The sum of three consecutive multiples of 4 is 444. Find these multiples.

Answer 1

Answer:

144, 148, 152.

Step-by-step explanation:

If x is a multiple of 4, the next multiple is x + 4, next to this is x + 8.  

Their sum = 444

According to the question,  

x + (x + 4) + (x + 8) = 444  

⇒ x + x + 4 + x + 8 = 444

⇒ x + x + x + 4 + 8 = 444  

⇒ 3x + 12 = 444

⇒ 3x = 444 - 12  

⇒ x = 432/3  

⇒ x = 144

Therefore, x + 4 = 144 + 4 = 148  

Therefore, x + 8 - 144 + 8 – 152

Therefore, the three consecutive multiples of 4 are 144, 148, 152.

Answer 2

Step-by-step explanation:

Let the 1st no. be 4x then the second no. is equal to 4x+4 and the third is equal to 4x+8

sum of 4x+(4x+4)+(4x+8)=444

12x +12 =444

on solving x=36

Therefore the no.s are 144,148,152