Question

Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?

Answer 1

Answer:

$x * (x - 2) = 143$

Where $x = 13$

Step-by-step explanation:

Given

$x (x - \_) = 143$

Required

Complete the blank

The complete question implies that the product include 2 consecutive odd numbers.

Two numbers whose products equal 143 are: 11 and 13

i.e. $11 * 13 = 143$

So, we have:

$x * (x - \_) = 13 * 11$

By comparison, we have:

$x = 13$

$x - \_ = 11$

Collect like terms

$\_ = x - 11$

Substitute 13 for x

$\_ = 13 - 11$

$\_ = 2$

So, the complete equation is:

$x * (x - 2) = 143$

Where $x = 13$