   Chapter 5.1, Problem 34E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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 2x and 3x.

According to the question,

2x23x2=355(2x2)

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