The sum of two numbers is 41. The larger number is one more than four times the smaller number. What are the numbers?

Mathematics · Middle School · Wed Jan 13 2021

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Given that :- sum of two numbers = 41

The larger number is one more than four times the smaller number, now

let smaller number be x then larger number is 4x+1

smaller number + larger number=41

x+(4x+1)=41

5x+1=41

5x=41-1

5x=40 => x=40/5

x=8 (smaller number)

larger number=4(8)+1

                         =32+1

                         =33  (Answer)