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The sum of two numbers is 50 . The second number is five times the first. Find the numbers. Two numbers are in the ratio 1:11 and their sum is 15 . Find the numbers.

Solution

Solution

The numbers : 1 \frac{1}{4}, 13 \frac{3}{4}

Solution steps

Represent the numbers in ratio 1:11 with

x

x

11 x

A.T.Q.:

x + 11 x = 15

Solve for

x, x + 11 x = 15 : x = \frac{5}{4}

x = \frac{5}{4}

11 x = 11 \cdot \frac{5}{4} = \frac{55}{4}

Convert improper fractions to mixed numbers:

\frac{5}{4} = 1 \frac{1}{4}

Convert improper fractions to mixed numbers:

\frac{55}{4} = 13 \frac{3}{4}

The numbers : 1 \frac{1}{4}, 13 \frac{3}{4}

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