cho a , b , c là 3 số tự nhiên biết :
a+5 =b + 7 = c + 10 , so sánh a , b , c
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đáp án: a < b < c
vd:
a => 1 + 5 = 6
b => 1 + 7 = 8
c => 1 + 10 = 11
dễ thấy : a < b < c
*) a + 5 = b + 7
⇒ a = b + 7 - 5
⇒ a = b + 2
⇒ a > b (1)
*) b + 7 = c + 10
⇒ b = c + 10 - 7
⇒ b = c + 3
⇒ b > c (2)
Từ (1) và (2) ⇒ a > b > c
a+5=b+7=c+10
=>a+5=b+7 và b+7=c+10
=>a-b=2>0 và b-c=10-7=3>0
=>a>b và b>c
=>a>b>c
Ta có: a<b
\(\Rightarrow a+c< b+c\)
\(\Rightarrow a.\left(a+c\right)< b.\left(b+c\right)\)
\(\Rightarrow\frac{a}{b}< \frac{a+c}{b+c}\)\(\left(a,b\in Z+;c\in N\right)\)
2) Ta có: a+b=c+d
=>d=a+b-c
Vì ab là số liền sau của cd nên ab-cd=1
Mà d=a+b-c nên ta có:
ab-c.(a+b-c)=1
=>ab-ac-bc+c^2=1
=>a.(b-c)-c.(b-c)=1
=>(a-c).(b-c)=1
=>a-c=b-c
=>a=b(đpcm)
3) Theo đề bài ta thấy mỗi người đều xuất hiện 9 lần
=>Tổng số tuổi của 10 người là:
(82+83+84+85+86+87+88+89+90+91+92):9=97(tuổi)
=>Tuổi của người trẻ nhất là:
97-92=5(tuổi)
=>Tuổi của người già nhất là:
97-82=15(tuổi)
Đ/s:
k mk nha !!! sau 2 năm đã có người trả lời câu hỏi cho bạn !!!
a>b>c
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