Question

Th eproduct if 2 successive integral multuples of 5 is 300.determine the multiples

Answer 1

Hi ,

Let m , ( m + 5 ) are two successive multiples

5 .

Their product = 300

m( m + 5 ) = 300

i ) m( m + 5 ) = 15 × 20

m( m + 5 ) = 15( 15 + 5 )

compare both sides of the equation

m = 15 ,

m + 5 = 15 + 5 = 20

ii ) m( m + 5 ) = 300

m( m + 5 ) = ( -15 ) × ( - 20 )

m( m + 5 ) = ( -20 )( -20 + 5 )

compare both sides of the equation ,

we can easily conclude that ,

m = -20 ,

m + 5 = -20 + 5 = -15

I hope this helps you.

: )

Answer 2

Let numbers are, 5x and (5x + 5)

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Their product = 300

5x(5x + 5) = 300

25x² + 25x = 300

25x² + 25x - 300 = 0

x² + x - 12 = 0

x² + (4 - 3)x - 12 = 0

x² + 4x - 3x - 12 = 0

x(x + 4) - 3(x + 4) = 0

(x + 4)(x - 3) =0

x = -4 or x = 3

Taking x as 3 [ positive value]

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Numbers are :

• 5x = 5(3)=15
• 5x + 5 = 15 + 5 = 20



I hope this will help you


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