Question

b) The sum of three consecutive even numbers is a) If the sum of two numbers is 37 and the greater number exceeds the smaller 5, find the numbers. b) If the sum of two numbers is 56 and the smaller one is 8 less than the bigger one,find the number​

Answer 1

Answer:

Solution:

Let the first even number = x

second even number = x + 2

and third even number = x + 4

According to the condition,

x+x+2+x+4=54

⇒3x+6=54

⇒3x=54-6

⇒x=\frac{48}{3}

⇒x=16

∴ First even number =x= 16

Second even number = x+2 = 16 + 2 = 18

and third even number = x+3 = 16 + 4 = 20

Hence, the three consecutive even numbers are 16, 18 and 20.