the sum of two numbers is 39. the larger number is 21 more than the smaller number. What are the numbers?

Answer 1

Greetings! Lets solve this shall we?

So, we must find the two missing numbers such that

x + y = 39

y = x - 21..............We use the substitution method such that

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x + (x - 21) = 39.............Add like terms such that

2x - 21 = 39.............Add 21 to both sides such that

2x = 60...............Then divide 2 such that

x = 30

Then we plug 30 into the equation such that

30 + y = 39...........Then subtract 30 such that

y = 9

I hope this helped!