Examples on Numbers 1

In this class, we discuss Examples on Numbers 1.

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The solutions for the numbers problems are very easy.

Understanding the question is difficult. Try to understand the question.

Example 1:

A number is as much greater than 36 as is less than 86. Find the number.

Solution:

Let the number be x.

In some amounts, the number is greater than 36, and in the same amount, the number is less than 86.

x – 36 = 86 – x

Solving is easy.

2x = 122

x = 61

Example 2:

Find a number such that when 15 is subtracted from 7 times the number.

The result is ten, more than twice the number.

Solution:

Let the number be x

7x – 15 = 2x + 10

5x = 25

x = 5

Example 3:

The sum of a rational number and its reciprocal is 13/6. Find the number.

Solution:

Let the number be x

x + 1/x = 13/6

(x^2 + 1)/x = 13/6

6x^2 – 13x +6 = 0

6x^2 -9x – 4x +6 = 0

(3x -2) (2x-3) = 0

x = 2/3 or 3/2