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Chapter 7: Q. 455 (page 900)

The Product of two Consecutive numbers is 462, find the numbers.

Short Answer

Expert verified

The two numbers can be(21,22);(-22,-21).

Step by step solution

01

Step 1. Given Information

We are given that the product of two consecutive numbers is 462.

We have to find the numbers.

We will find the numbers using factorisation.

02

Step 2. Factoring

Let's say one number isnthen the second number will be n+1.

n(n+1)=462鈬�n2+n=462鈬�n2+n-462=0鈬�n2+22n-21n-462=0鈬�n(n+22)-21(n+22)鈬�(n-21)(n+22)=0

Therefore n=21or n=-22.

Therefore the two consecutive numbers can be(21,22);(-22,-21)

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