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A e mai mare decat b cu 60 catul sumei numerelor impartit la duferenta numerelor egal 25 rest 24

Răspuns :

Ramonanyka

a=b+60

(a+b):(a-b)=25 rest 24

(b+60+b):(b+60-b)=25 r 24

(2b+60):60=25 r 24

2b+60=60*25+24

2b+60=1500+24

2b+60=1524

2b=1524-60

2b=1464

b=1464:2

b=732

a=732+60

a=792

(792+732):(792-732)=25 r 24

1524:60=25 r 24


Cocirmariadenis

a > b cu 60 ⇒  a = b + 60

( a + b ) : ( a - b ) = 25 rest 24

( b + 60 + b ) : ( b + 60 - b ) = 25 rest 24

( 2 x b + 60 ) : 60 = 25 rest 24

2 x b + 60 = 25 x 60 + 24

2 x b = 1500 + 24 - 60

2 x b = 1464

b = 1 464 : 2

b = 732

a = 732 + 60

a = 792

Verific:  

( a + b ) : ( a - b ) = 25 rest 24

=  ( 792 + 732 ) : ( 792 - 732) =

= 1524 : 60 =

= 25 rest 24


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