Question

The Product of two consecutive positive multiples of 3 is 180.Find the numbers.

Answer 1

Let the no be 3x, 3(x+1)
since the product is 180
so
3x ×3(x+1)= 180
9x(x+1)=180
x(x+1)= 20
or
(x+5)(x-4)=0
x=4
so the no are 12,15

Answer 2

Given,

The product of two consecutive positive multiples of 3 is 180.

To find,

We have to find the numbers which are consecutive positive multiples of 3.

Solution,

The positive consecutive numbers which are multiples of 3 whose Product is 180 are 12 and 15.

Let the numbers be 3x and 3x +3

According to the given condition, the product of the two numbers = 180

3x(3x+3) = 180

Using distributive property,

9x² + 9x -180

Taking 9 commons, the quadratic equation reduces to,

x² + x-20

x² +5x-4x-20

x(x+5)-4(x+5)

(x+5)(x-4)

x= -5, x= 4

x = 4

Numbers will be = 3(4)

                            = 12

                            = 3(4) +3

                            = 15

Hence, the positive consecutive numbers which are multiples of 3 whose Product is 180 are 12 and 15.