Question

Nicki was told to find three consecutive odd Integers whose sum is 53. Which of the
Following equations represents the word problem Nicki was given
(A) x+3=53 (B) x+x+1+x+2=53
(C) x+x+1+x+3=53 (D) x+x+2+x+4=53

Answer 1

correct option d) $x+(x+2)+(x+4) = 53$ .

Step-by-step explanation:

Here we have , Nicki was told to find three consecutive odd Integers whose

sum is 53. We know that consecutive means one after another and let us assume that any 3 consecutive odd integers are x , x+2 , x+4 . There's a difference of 2 in every number , since consecutive numbers differ from each other by 2 . It's given that sum of 3 consecutive odd integers are x , x+2 , x+4 is 53 :

$x, x+2,x+4$

⇒ $x+(x+2)+(x+4) = 53$

⇒ $(x+x+x)+(2+4) = 53$

Now, let's match these equations:

(A) x+3=53

Required equation is $x+(x+2)+(x+4) = 53$ , not x+3=53 .

(B) x+x+1+x+2=53

Required equation is $x+(x+2)+(x+4) = 53$ , not x+x+1+x+2=53 .

(C) x+x+1+x+3=53

Required equation is $x+(x+2)+(x+4) = 53$ , not x+x+1+x+3=53 .

(D) x+x+2+x+4=53

Required equation is $x+(x+2)+(x+4) = 53$ , which is correct .