r, s, and t are three consecutive odd integers such that r>s>t Quantity A: r+s+1 Quantity B: s+t-1 A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given.
r, s, and t are three consecutive odd integers such that r>s>t Quantity A: r+s+1 Quantity B: s+t-1 A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given.
r+s+1 ? s+t-1
since r,s and t are consecutive odd number therefore,
r=r
s=r+2
t=r+4
r+(r+2)+1 ? (r+2)+(r+4)-1
eliminating like terms on both sides
r+1 ? r+4-1
r+1 ? r+3
eliminating like terms on both sides
1 ? 3
Tracing it upward, it can be seen that 1<3, therefore quantity B is greater than quantity A.
Answer: Quantity B is greater (B)