Question

the product of two consecutive odd numbers is 35 ,find the numbers

Answer 1

Answer:

Let the first number be

2

n

−

1

∴

the second number must be

2

n

+

1

We are told that the product of the numbers is 35

∴

(

2

n

−

1

)

(

2

n

+

1

)

=

35

4

n

2

−

1

=

35

4

n

2

=

36

n

2

=

9

→

n

=

±

3

Then, either, first number

=

(

6

−

1

)

=

+

5

∴

second number

=

5

+

2

=

+

7

or

First number

=

(

−

6

−

1

)

=

−

7

∴

second number =

−

7

+

2

=

−

5