Question

The product of two consecutive natural number which of multiple
of four is 32 Find the numbers​

Answer 1

Answer:

The four consecutive natural numbers which are multiple of five can be written as 5x−5,5x,5x+5,5x+10

where x is integer

According to question (5x−5)×5x×(5x+5)×(5x+10)=15,000

⇒5

4

(x−1)x(x+1)(x+2)=15000

⇒(x−1)x(x+1)(x+2)=

625

15000

⇒(x−1)x(x+1)(x+2)=24

Solve the equation

x=2

∴ Number's are

5x−5=5×2−5=5

5x=5×2=10

5x+5=5×2+5=15

5x+10=5×2+10=20

∴ Natural number's are 5,10,15,20

Answer 2

Answer:

The four consecutive natural numbers which are multiple of five can be written as 5x−5,5x,5x+5,5x+10

where x is integer

According to question (5x−5)×5x×(5x+5)×(5x+10)=15,000

⇒5

4

(x−1)x(x+1)(x+2)=15000

⇒(x−1)x(x+1)(x+2)=

625

15000

⇒(x−1)x(x+1)(x+2)=24

Solve the equation

x=2