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  • Word Problem based on three consecutive odd natural numbers

QUADRATIC �EQUATIONS

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Sol.

Let the three required consecutive odd natural numbers be x , x + 2 and x + 4.

As per the given condition,

×

+

=

x

(x + 4)

1

4×

(x + 2)

After leaving some space +

4 ×

After the sign put 1

∴ x2

∴ x2

Taking square root on both

the sides we get,

x = ± 3

The required numbers are

natural numbers.

∴

  • x + 2

The three consecutive odd natural

numbers are 3, 5 and 7 respectively.

x ≠ -3

Hence, x = 3

∴

Means multiplication

Means =

How many numbers?

It is given that

  • x + 4

= 3 + 4

= 7

= 3 + 2

= 5

∴

What we need to find ?

+ 4x

= 4x

+ 8

+ 1

How to assume three consecutive odd natural numbers ?

x, x + 2 and x + 4

Three consecutive odd natural numbers are such that the product of the first and third is greater than four times

the middle by 1. Find the numbers.

(Q)

= 9

∴