Chapter 5.1, Problem 33E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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 3:4. If the first number is decreased by 2 and the second is decreased by 1, they are in the ratio 2:3. 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 3:4.

Use the property of ratios.

The values of a and b are 3x and 4x.

According to the question,

3xâˆ’24xâˆ’1=23â‡’3(3xâˆ’2)

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