Question

The sum of three consecutive even numbers is 150. Find the number​

Answer 1

Answer:

x+ (x+1) + (x+2) = 150

3x+3 = 150

3x = 147

x = 147/3

x=49

x+1 = 50

x+2 = 51

Step-by-step explanation:

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Answer 2

᯽Given :

➙ The sum of three consecutive even numbers is 150 .

᯽To Find :

➙ The numbers

᯽We Know :

➙ The difference between any two even numbers is '2'

᯽Considering :

➙ Let the ,

• $\sf\red{First \: number \: = \: x }$
• $\sf\red{Second \: number \: = \: x + 2 }$
• $\sf\red{third \: number \: = \: x + 4 }$

᯽Solution :

•According to the question :

$\orange{\boxed{\red{\sf{x+x+2+x+4=150}}}}$

➙ 3x + 6 = 150

= 3x = 150 - 6

= 3x = 144

= x = 144 / 3

= x = 48

$\therefore{\pink{\bf{➙first\: number=48}}}$

$\pink{\bf{➙ Second \: number = 48 + 2 = 50 }}$

$\pink{\bf{➙ Third \: number = 48 + 4 = 52 }}$

᯽Verification :

• According to the question , sum of three consecutive even numbers is 150 . where first number = x

• According to the solution , x = 48 and other two consecutive even numbers are 50 and 52 .

So , according to the question ,

➙ 48 + 50 + 52 = 150

➙ 98 + 52 = 150

➙ 150 = 150

➙ LHS = RHS

${\red{\sf{ hence\:verified }{\checkmark}}}$