the sum of four consecutive odd numbers is 80. find the numbers
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2
Answer:
17+19+21+23=80
Step-by-step explanation:
Let the consecutive odd numbers=x, x+2,x+4, and x+6 respectively.
So,
x+(x+2)+(x+4)+(x+6)=80
4x+(2+4+6)=80
4x+12=80
(4x÷4)+(12÷4)-(12÷4)=(80÷4)-(12÷4)
x+3–3=20–3
x+0=17
x=
17
Given that x=17, then x+2,x+4,and x+6=
19,21, and 23 respectively.
Proof:
17+19+21+23=80
This identity establishes the 4 consecutive odd numbers that = 80
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