Question

the sum of three consecutive multiplesof 9 is 270 find the multiples​

Answer 1

Answer:

3,15,18

Step-by-step explanation:

Let the two consecutive multiples of 3 be 3x and 3x+3

Given that their product=270

⇒3x(3x+3)=270

⇒9x(x+1)=270

⇒x(x+1)=30

⇒x

2

+x−30=0

⇒x

2

+6x−5x−30=0

⇒x(x+6)−5(x+6)=0

⇒(x+6)(x−5)=0

⇒x=−6,5

Considering the positive value of x

⇒x=5,3x=3×5=15 and 3x+3=15+3=18

∴ The two consecutive multiples of 3 are 15 and 18