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The sum of two numbers is …

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The sum of two numbers is 80. The greater number exceeds the smaller number by twice the smaller number. Find the numbers.
  • 2 answers

Saanvi Jamwal 5 years, 1 month ago

the required numbers are 57 and 23.

Yogita Ingle 5 years, 1 month ago

Let the two numbers be x and y such that x>y..

Now according to the question-

Condition I:-

x+y=80.....(1)

Condition II:-

x=2y+11.....(2)

Substituting the value of x in eqn(1) we have

(2y+11)+y=80

3y+11=80

3y=80−11

y=69​/3 =23

Substituting the value of y in eqn(2), we have

x=2×23+11

⇒x=46+11=57

Hence the required numbers are 57 and 23.

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