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Q. Solve the following word problem 1.The product of two consecutive natural number is 42. Find the numbers |
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Answer» Step-by-step explanation:Let the two consecutive NATURAL NUMBERS be x and (x+1) From the GIVEN condition,we have x(x+1)=42 ⇒x 2 +x=42 ⇒x 2 +x−42=0 ⇒x 2 +7 x−6 x−42=0 ⇒x(x+7)−6(x+7)=0 ⇒(x−6)(x+7)=0 ⇒x−6=0 or x+7=0 ⇒x=6 or x=−7 [Since −7 is not a natural number] So, x=6 and x+1=6+1=7. Hence, the numbers are 6 and 7. |
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