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Popular Word Problems >

one number is greater by 6 than twice another number but 3 times the smaller number exceeds the greater by 1. Find the numbers.

Solution

o n e n u mb er i s g re a t er b y 6 t han tw i ce an o t h er n u mb er b u t 3 t im es t h e s ma ll er n u mb er e x cee d s t h e g re a t er b y 1. F in d t h e n u mb ers .

Solution

The numbers : 0, \frac{1}{3} or - \frac{59}{62}, \frac{1}{62}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = x \cdot 62 y

3 y = x + 1

x = x \cdot 62 y, 3 y = x + 1 : (x = 0, y = \frac{1}{3} x = - \frac{59}{62}, y = \frac{1}{62})

The numbers : 0, \frac{1}{3} or - \frac{59}{62}, \frac{1}{62}

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