Question

You have three consecutive even numbers so that the sum of twice the smallest number plus
three times the middle number is four times the largest number. Find the three numbers.

Answer 1

Answer:

Let the three consecutive even numbers be (2x),(2x+2)and (2x+4)

Step-by-step explanation:

twice of smallest number=2×2x=4x

thrice of middle no.=3(2x+2)

four times of largest no.=4(2x+4)

As per the question we have 4x+3(2x+2)=4(2x+4)

4x+6x+6=8x+16

>10x+6=8x+16

>10x-8x=16-6

>2x=10

>x=5

Hence the numbers are2x=2×5=10,2x+2=10+2=12 and 2x+4=10 +4 =14