Chapter 5.1, Problem 34E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Two numbers *a* and *b* are in the ratio 2:3. If both numbers are decreased by 2, the ratio of the resulting numbers becomes 3:5. Find *a* and *b*.

To determine

**To find:**

The values of *a* and *b*.

Explanation

According the property of ratios, unknown quantities in the ratio *a*:*b*:*c*:*d* should be represented by *ax*, *bx*, *cx* and *dx*.

**Calculation:**

It is given that *a* and *b* are in the ratio of 2:3.

Use the property of ratios.

The values of *a* and *b* are 2*x* and 3*x*.

According to the question,

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