Question

three consecutive even integers are such that, when they are taken in increasing order and multiplied by 2, 1/4 and 12 respectively and they add up to 63. find the greatest integer

Answer 1

Step-by-step explanation:

hope this will help....

Answer 2

QuestioN :

three consecutive even integers are such that when they are taken in increasing order and multiplied by 2, 1/4, and 12 respectively and they add up to 63. find the greatest integer

GiveN :

• when they are taken in increasing order
• multiplied by 2, 1/4, and 12 respectively
• they add up to 63.

To FiNd :

• The greatest integer.

SolutioN :

Let the three consecutive integers are x, x+1, and x+2.

According to the question,

$\sf 2x + 3x +3 + 4x + 8 = 74$

$\sf 9x + 11 = 74$

$\sf 9x = 74 - 11$

$\sf \Rightarrow x=\dfrac{63}{9}$

Thus, the numbers are:

x = 7

x+1 = 8

x+2 = 9