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The sum of two numbers is 30. If four times the larger number is subtracted from three times the smaller number, the result is 8. Find the numbers.

Solución

The sum of two numbers is 30. If four times the larger number is subtracted from three times the smaller number, the result is 8. Find the numbers.

Solución

The numbers : 11 \frac{5}{7}, 18 \frac{2}{7}

Pasos de solución

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 30

3 y - 4 x = 8

x + y = 30, 3 y - 4 x = 8 : x = \frac{82}{7}, y = \frac{128}{7}

Convertir las fracciones impropias a números mixtos:

\frac{82}{7} = 11 \frac{5}{7}

Convertir las fracciones impropias a números mixtos:

\frac{128}{7} = 18 \frac{2}{7}

The numbers : 11 \frac{5}{7}, 18 \frac{2}{7}

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