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Popular Word Problems >

A positive number is one-half another number. The sum of the numbers is 18 less than the square of the smaller number. What are the numbers?

Solução

A p os i t i v e n u mb er i s o n e - ha l f an o t h er n u mb er . T h e s u m o f t h e n u mb ers i s 18 l ess t han t h e s q u a re o f t h e s ma ll er n u mb er . Wha t a re t h e n u mb ers ?

Solução

The numbers : 6, 12

Passos da solução

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = \frac{1}{2} y

x + y = x^{2} - 18

Resolver o sistema de equações:

x = \frac{1}{2} y, x + y = x^{2} - 18 : (x = 6, x = - 3, y = 12 y = - 6)

Select positive solutions:

12, 6

The numbers : 6, 12

Exemplos populares

The sum of two numbers is 45.One of the number is 11 more than the other.Find the two numbers six more than five times a number is negetive four what is number 6 times the sum of a number and 8 is 30. find the number if greg invested $500 for 5 years, compounded annually, at a rate of 6%, how much intrest would he earn on his investment Lauren's age is half of Joe's age. Emma is four years older than Joe. The sum of Lauren, Emma, and Joe's age is 54. How old is bob?