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Popular Word Problems >

An integer is two more than another integer. Twice the larger integer is one more than the square of the smaller integer. Find the two integers.

Solution

implicit derivative

in t e g er i s tw o m ore t han an o t h er in t e g er . Tw i ce t h e l a r g er in t e g er i s o n e m ore t han t h e s q u a re o f t h e s ma ll er in t e g er . F in d t h e tw o in t e g ers .

Solution

The numbers : 5, 3 or 1, - 1

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 + y

2 x = 1 + y^{2}

Solve the system of equations:

x = 2 + y, 2 x = 1 + y^{2} : (x = 5, x = 1, y = 3 y = - 1)

The numbers : 5, 3 or 1, - 1

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