the product of two successive number is 1980.find the smaller number
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smaller number is 0 in sentences
mamoonsandhu:
solution..?
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Let the first number be a
Second number = a +1
According to question,
a (a +1) = 1980
=> a^2 + a = 1980
=> a^2 + a - 1980 = 0
=> a^2 + 45a - 44a - 1980 = 0
=> a (a +45) - 44(a +45) = 0
=> ( a - 44)(a + 45) = 0
a = 44 and - 45
Neglect negative value,
So, a = 44
First number = 44
Second number = 44 + 1 = 45
Second number = a +1
According to question,
a (a +1) = 1980
=> a^2 + a = 1980
=> a^2 + a - 1980 = 0
=> a^2 + 45a - 44a - 1980 = 0
=> a (a +45) - 44(a +45) = 0
=> ( a - 44)(a + 45) = 0
a = 44 and - 45
Neglect negative value,
So, a = 44
First number = 44
Second number = 44 + 1 = 45
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