Asked by Random
                Divide 75 into two parts so that twice the greater equals three times the smaller 
            
            
        Answers
                    Answered by
            Bosnian
            
    g = the greater part
s = the smaller part
2 g = 3 s Divide both sides by 2
g = ( 3 / 2 ) s
g + s = 75
( 3 / 2 ) s + s = 75
( 3 / 2 ) s + ( 2 / 2 ) s = 75
( 5 / 2 ) s = 75 Multiply both sides by 2
5 s = 75 * 2
5 s = 150 Divide both sides by 5
s = 150 / 5
s = 30
g = ( 3 / 2 ) s
g = ( 3 / 2 ) * 30 = 3 * 30 / 2 = 90 / 2 = 45
the greater part = 45
the smaller part = 30
Proof:
Twice the greater equals three times the smaller.
2 * 45 = 3 * 30
90 = 90
    
s = the smaller part
2 g = 3 s Divide both sides by 2
g = ( 3 / 2 ) s
g + s = 75
( 3 / 2 ) s + s = 75
( 3 / 2 ) s + ( 2 / 2 ) s = 75
( 5 / 2 ) s = 75 Multiply both sides by 2
5 s = 75 * 2
5 s = 150 Divide both sides by 5
s = 150 / 5
s = 30
g = ( 3 / 2 ) s
g = ( 3 / 2 ) * 30 = 3 * 30 / 2 = 90 / 2 = 45
the greater part = 45
the smaller part = 30
Proof:
Twice the greater equals three times the smaller.
2 * 45 = 3 * 30
90 = 90
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