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Find two consecutive odd numbers whose product is 195. |
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Answer» Step 1 : Framing the equation Let one of the odd positive number be x. The other odd positive number will be (x + 2) The product of the numbers is x(x+2)=195 ∴x2 +2x−195=0 Step 2: Solving the equation x2 +2x−195=0 x2 +15x−13x−195=0∴(x+15)(x−13)=0 x+15=0 or x−13=0∴x=−15 or x=13 Step 3: Interpreting and finding the solution Since the numbers must be positive, x = -15 is not taken. ∴x=13 and x+2=13+2=15 ∴ The two consecutive odd positive numbers are 13 and 15. |
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