Tìm số tự nhiên a, biết rằng:
a/
697:15.a+364 = 17
a
b/ 92.4-27= a+350+315
a
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15.A+364A=697:1715.A+364A=697:17
15.A+364A=4115.A+364A=41
15+364A=4115+364A=41
364A=41−15364A=41−15
364A=26364A=26
A=364:26A=364:26
A=14A=14
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a,697:[(15.x+364):x]=17
=>(15x+364):x=679:17=41
=>\(\frac{15x}{x}+\frac{364}{x}=41\)
=>\(15+\frac{364}{x}=41\)
=>\(\frac{364}{x}=41-15=26\)
=>\(x=\frac{364}{26}=14\)
b,92.4-27=(x+350):x+317
=>\(341=\left(x+350\right):x+317\)
=>\(\left(x+350\right):x=341-317=24\)
=>\(\frac{x}{x}+\frac{350}{x}=24\)
=>\(1+\frac{350}{x}=24\)
=>\(\frac{350}{x}=23\) => \(x=350:23=\frac{350}{23}\)
a.\(697:\frac{15.a+364}{a}=17\)
\(\Leftrightarrow\frac{15.a+364}{a}=41\)
\(\Leftrightarrow15.a+364=41.a\)
\(\Leftrightarrow15.a-41.a=-364\)
\(\Leftrightarrow a.\left(15-41\right)=-364\)
\(\Leftrightarrow a.\left(-26\right)=-364\)
\(\Leftrightarrow a=14\)
b.\(92.4-27=\frac{a+350}{a}+315\)
\(\Leftrightarrow368-27=\frac{a+350}{a}+315\)
\(\Leftrightarrow\frac{a+350}{a}+315=341\)
\(\Leftrightarrow\frac{a+350}{a}=26\)
\(\Leftrightarrow a+350=a.26\)
\(\Leftrightarrow350=a.26-a\)
\(\Leftrightarrow a.\left(26-1\right)=350\)
\(\Leftrightarrow a.25=350\)
\(\Leftrightarrow a=14\)
Giải câu b:
92.4 - 27 = \(\frac{a+350}{a}\)+ 315
368 - 27 = \(\frac{a+350}{a}\)+ 315
341 = \(\frac{a+350}{a}\)+ 315
\(\frac{a+350}{a}\)= 341 - 315
\(\frac{a+350}{a}\)= 26
a + 350 = 26.a
26a - a = 350
(26 - 1).a = 350
25.a = 350
a = 350 : 25
a = 14