Question

Three consecutive intergers are such that four times the least integer is three times the greatest . What is the greatest of this integers? A-16, B-8, C-10, D-12, E-14

Answer 1

If we call the middle number in the sequence
`x`, the numerical values of the other terms will be
`x-1` and
`x+1`, respectively, since they are consecutive.

We are told that
`4` times the smallest number is equal to
`3` times the largest number. Let us write our equality.

• 
  `4(x-1)=3(x+1)`
• 
  `4x-4=3x+3`
• 
  `4x-3x=4+3`
• 
  `x=7`

We found our number in the middle. Since it wants the value of our largest number, let's add 1 to the middle number.

• 
  `x+1=7+1=8`

The answer is B.