Question

The sum of two consecutive multiples of 12 is 300. Find the smaller multiple.​

Answer 1

Answer:

The multiples are (15,20) and (-15,-20).

Step-by-step explanation:

Given : The product of two consecutive multiples of 5 is 300 .

To find : Multiples ?

Solution :

Let the one number be 'x'.

The another number be 'x+5'.

The product of two consecutive multiples of 5 is 300.

i.e. (x)(x+5)=300(x)(x+5)=300

x^2+5x=300x

2

+5x=300

x^2+5x-300=0x

2

+5x−300=0

x^2+20x-15x-300=0x

2

+20x−15x−300=0

x(x+20)-15(x+20)=0x(x+20)−15(x+20)=0

(x-15)(x+20)=0(x−15)(x+20)=0

x=15,-20x=15,−20

If x=15 the other multiple is 20.

If x=-20 the other multiple is -15.

#Learn more

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Step-by-step explanation:

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Answer 2

Answer:

12&13

Step-by-step explanation:

Answer is 12 and 13 as

12×12=144

13×13=156

Hence 144+156=300

Smaller multiple will be 12