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A number is 9 more than another number. Twice the sum of the two numbers is 14. Find the two numbers.

User Koc
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1 Answer

4 votes

Answer:

  • -1 and 8

Explanation:

Let's assume one of the number be 'x'.

We are given that, A number is 9 more than another number. So, the other number can be written as 9 + x.

Acc to the question,


\sf 2(x + 9 + x) = 14


\sf 2x + 18 + 2x = 14


\sf 4x + 18 = 14

Subtract 18 from both sides


\sf 4x + 18 -18= 14 - 18


\sf 4x = - 4

Divide both sides of the equation by 4


\bf x = -1

Hence the first number is -1.

Since the other number is 9 + x, substituting the value of x.


\sf 9 + x = 9 + (-1)


\sf 9 + x = 9 - 1


\bf 9 + x = 8

Hence, the two numbers are -1 and 8

User Shubha
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