Question

The product of two successive multiples of 5 is 300. What are the values of these multiples? 5 के 2 लगातार गुणजों का गुणनफल 300 है, तो गुणजों का मूल्य पता करें.*

(A) 25, 30

(B) 10, 15

(C) 30, 35

(D) 15, 20

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Answer 1

Step-by-step explanation:

the correct answer is d

Answer 2

Answer:

The correct answer is option (D)

Step-by-step explanation:

Given,

The product two successive multiples of 5 is 300.

Let the two multiples of five be 'a' and 'a+5'

given that their product  = 300

a(a+5) = 300

a² +5a = 300

a² + 5a - 300 =0

To find the multiples, we need to solve the above equation.

To solve a² + 5a - 300 =0 by splitting the middle term,

we need to find two numbers such that

their sum = 5 and product  = -30

Two such numbers are 20 and -15

Then,

a² + 5a - 300 = a² + 20a - 15a -  300 = 0

a(a+20)-15(a+20) = 0

(a-15)(a+20) = 0

a = 15 or a = -20

Then, the multiples are 15, 20 or -20,-15

Hence, the correct answer is option (D)

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