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28 votes
28 votes
One number exceeds another by 5. The sum of the numbers is 25. What are the numbers?

The numbers are?

User Suryakrupa
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2.0k points

1 Answer

24 votes
24 votes


\bold{\huge{\pink{\underline{ Solution}}}}


\bold{\underline{ Given :- }}

  • The sum of two numbers is 25
  • One number exceeds another by 5


\bold{\underline{ To \: Find :- }}

  • We have to find the two numbers.


\bold{\underline{ Let's \: Begin:- }}

Let the number be x

Therefore,

Another number be x + 5

According to the question,


\sf{ x + ( x + 5 ) = 25}


\sf{ x + x + 5 = 25}


\sf{ 2x + 5 = 25}


\sf{ 2x = 25 - 5}


\sf{ 2x = 20 }


\sf{ x = 20/2}


\sf{ x = 10 }

Thus, The first number is 10

Therefore,

Another number will be


\sf{ = x + 5 }


\sf{ = 10 + 5 }


\sf{ = 15 }


\sf{\red{Hence, \:The \:two \:numbers\: are \:10 \:and\: 15}}

User Chugreevd
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3.0k points