What is

What is the value of the smaller of a pair of numbers for which their sum is 78 and their division quotients are 0.3?

Result

a =  18

Solution:

a+b=78 a/b=0.3  a=0.3 b a=0.3⋅ (78−a) 1.3a=23.4 1310a=1175 13a=234 a=234/13=18   b=78−a=78−18=60 a=18a+b=78 \ \\ a/b=0.3 \ \\ \ \\ a=0.3 \ b \ \\ a=0.3 \cdot \ (78-a) \ \\ 1.3a=23.4 \ \\ \dfrac{ 13 }{ 10 }a=\dfrac{ 117 }{ 5 } \ \\ 13a=234 \ \\ a=234 / 13=18 \ \\ \ \\ \ \\ b=78-a=78-18=60 \ \\ a=18

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