Chapter 7: Q17. (page 243)

Three numbers aren’t known, but the ratio of the numbers is $1 : 2 : 5$ . Is it possible that the numbers are $1, 2,$ and5. $10, 20,$ and $50 ?$ $3, 6,$ and $20 ?$ $x, 2 x,$ and $5 x ?$

Short Answer

Expert verified

The answer is $(1, 2, 5), (10, 20, 50)$ and $(x, 2 x, 5 x)$ .

Step by step solution

Step 1. Given information.

Ratio of three unknown numbers is $1 : 2 : 5$ .

numbers can be $1, 2 and5 or 10, 20 and50 or 3, 6 and20 or x, 2 x and5 x$ .

Ratio is $1 : 2 : 5$ .

Step 2. Checking first pair of numbers.

$1 : 2 : 5$ , this is possible.

Step 3. Checking second pair of numbers.

$\begin{array}{l} 10 : 20 : 50 \\ Dividingby10 \\ 1 : 2 : 5 \end{array}$

These numbers are also possible.

Step 4. Checking third pair of numbers.

$3 : 6 : 20$

Not possible.

Step 5. Checking fourth pair of numbers.

$\begin{array}{l} x : 2 x : 5 x \\ Dividingby x \\ 1 : 2 : 5 \end{array}$

Therese numbers are possible.

Therefore, the answer is $(1, 2, 5), (10, 20, 50)$ and $(x, 2 x, 5 x)$ .

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Three numbers aren’t known, but the ratio of the numbers is $1 : 2 : 5$ . Is it possible that the numbers are $1, 2,$ and5. $10, 20,$ and $50 ?$ $3, 6,$ and $20 ?$ $x, 2 x,$ and $5 x ?$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Checking first pair of numbers.

Step 3. Checking second pair of numbers.

Step 4. Checking third pair of numbers.

Step 5. Checking fourth pair of numbers.

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Three numbers aren’t known, but the ratio of the numbers is1:2:5 . Is it possible that the numbers are1,2, and5.10,20, and50?3,6, and20? x,2x,and5x?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Checking first pair of numbers.

Step 3. Checking second pair of numbers.

Step 4. Checking third pair of numbers.

Step 5. Checking fourth pair of numbers.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Logic and Functions

Probability and Statistics

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Three numbers aren’t known, but the ratio of the numbers is $1 : 2 : 5$ . Is it possible that the numbers are $1, 2,$ and5. $10, 20,$ and $50 ?$ $3, 6,$ and $20 ?$ $x, 2 x,$ and $5 x ?$