give answer ????????
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Given :
- Product of two successive multiple of 10 = 1200
Let :
- One multiple be 10x
- 2nd multiple will be 10(x+1)
Solution :
According to question,
=> 10x × 10(x+1) = 1200
=> 100 x(x+1) = 1200
=> x² + x = 1200/100
=> x² + x = 12
=> x² + x - 12 = 0
splitting middle term,
=> x² + (4-3)x -12 = 0
=> x² + 4x - 3x - 12 = 0
=> x(x+4) - 3(x+4) = 0
=> (x+4)(x-3) = 0
either (x+4) = 0 .....or....... (x-3) = 0
either (x = -4) ........or........ ( x = 3 )
therefore
- when x = -4
10x = 10(-4) = (-40)
10(x+1) = 10(-4+1) = 10(-3) = -30
- when x = 3
10x = 10(3) = 30
10(x+1) = 10(3+1) = 10(4) = 40
ANSWER : The required two successive multiple of 10 are,
either
- -40 & -30
or
- 30 & 40
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