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 Question from Samima: Two numbers have a difference of 0.85 and the sum 1.What are the numbers?

Hi Samima,

The subject line of your email was Algebra so let's do it algebraically.

Suppose the two numbers are $a$ and $b$ where $a$ is the larger. The sum of the two numbers is 1 and the difference is 0.85 so you know that

$a + b = 1 \mbox{ and } a - b = 0.85.$

$a + b + a - b = 1 + 0.85 \mbox{ or } 2a = 1.85.$

Solve for $a$ and $b.$ Once you have found $a$ and $b,$ verify that they are correct.

Penny