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Twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the two numbers.

 Jan 22, 2020
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Let x be the large number and y the smaller number. we know that 2*x+2*y =310 and that x-y=55 which can also be written as y=x-55

2x+2y=310

Divide by 2

x+y=155

Since y=x-55 we can substitute y for this and get

x+x-55=155

2x=155+55

2x=210

x= 105

y= 105-55 => y=50

Check by 105*2+50*2 => 210+100=310

 

cheers

 Jan 22, 2020

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