Question

Determinati valorile lui a din:
A) [(324+205:5-a)-120]*10-125=25
B) [676:13:(31*20-31-a)]*45-23*91=247
C) {[(205:5+362:2)-32*6+a]*221:13}-140:5=635
D) [(30+226:2+a:4):29+20*100]:5-11*6-5*67=0

Answer 1

a)
$[ ( 324 + 205 : 5 -x ) : 6 ] * 3 + 127 = 307$
$[ ( 324 + 41 -x ) : 6 ] * 3 = 307-127$
$[ ( 365 -x ) : 6 ] * 3 = 180$
$[ ( 365 -x ) : 6 ] = 180:3$
[tex] ( 365 -x ) : 6=60 [/tex]
$365 -x = 60*6$
$365 -x =360$
$x=5$

b)
$[676:13:(31*20-31-a)]*45-23*91=247$
$[52:(620-31-a)]*45-2093=247$
$[52:(589-a)]*45=247+2093$
$\frac{52}{589-a} *45=2340$
$\frac{2340}{589-a} =2340$
$589-a= \frac{2340}{2340}$
$589-a=1=\ \textgreater \ a=589-1=\ \textgreater \ a=588$

c)
$\{[(41+362:2)-32*6+a]*221:13\}-140:5=635$
$\{[(41+181)-32*6+a]*221:13\}-140:5=635$
$\{[222-32*6+a]*221:13\}-140:5=635$
$\{[190*6+a]*221:13\}-140:5=635$
$\{[1140+a]*221:13\}-140:5=635$
$\{[1140+a]*17\}-140:5=635$
$\{1140+a}*17-28=635$
$\{1140+a\}*11=635$
$1140+a=635-11$
[tex]1140+a=624 [/tex]
$a=1140-624$
$a=516$

d)
$[(30+226:2+a:4):29+20*100]:5-11*6-5*67=0$
$[(30+113+a:4):29+2000]:5-66-335=0$
$[(143+a:4):29+2000]:5=401$
$(143+a:4):29+2000=2005$
$(143+a:4):29=5$
$143+a:4=145$
$a:4=145-143$
$a:4=2$
$a=4*2$
$a=8$