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Half of two numbers addition is equal to 7/5 and half of the two numbers subtraction is 7/12. What are the numbers?

 May 20, 2021
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x/2  +  y/2   =   7/5

x/2 -   y/2    =  7/12               subtract  the  second equation  from the  first

 

y  =  7/5  -  7/12    =   [84 - 35 ]  60  =  49/60

 

And  using either equation

 

x/2  +  (49/60)/2   =  7/5              multiply through  by  2

 

x  + 49/60   =  14/5

 

x  =  14/5  -  49/60

 

x = 168 / 60  -  49/60   =   119 / 60

 

 

cool cool cool

 May 20, 2021

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