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Popular Word Problems >

the sum of two numbers is zero. when 15 times the small number is added to 10 times the larger the result is 3 find the two numbers

Solution

t h e s u m o f tw o n u mb ers i s zero . w h e n 15 t im es t h e s ma ll n u mb er i s a dd e d t o 10 t im es t h e l a r g er t h e res u lt i s 3 f in d t h e tw o n u mb ers

Solution

The numbers : - \frac{3}{5}, \frac{3}{5}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 0

10 x + 15 y = 3

x + y = 0, 10 x + 15 y = 3 : x = - \frac{3}{5}, y = \frac{3}{5}

The numbers : - \frac{3}{5}, \frac{3}{5}

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