Question

a:b=3r3 c:(a-b)=2 c-a=24

Answer 1

a:b = 3 rest 3
a = 3×b+3
c:(a-b) = 2 => c = 2×a-2×b
c-a = 24 => c = a+24
2×a-2×b = a+24
2×a-a = 2×b+24
a = 2×b+24

3×b+3 = 2×b+24
3×b-2×b = 24-3
b = 21

a = 3×21+3 = 63+3 = 66
c = 66+24 = 90

a = 66
b = 21
c = 90

Answer 2

a:b=3rest3  => a=3b+3
c:(a-b)=2     => c=2x(a-b)  => c=2a-2b
c-a=24         => c=24+a
2a-2b=24+a  => 2x(3b+3)-2b=24+3b+3  => 6b+6-2b=27+3b => 4b-3b=27-6
=> b=21( am inlocuit valorile expresiile rezultate din datele problemei in expresia c=24+a)
a=3x21+3  => a=63+3  => a=66
c=24+66  => c=90
Solutia este: a=66; b=21; c=90
Verificam: a:b=66:21=3 rest 3
                   c:(a-b)=90:(66-21)=90:45=2
                    c-a=90-66=24