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The sum of two consecutive odd integers is -112. What is the larger integer?
Two consecutive odd integers are numbers in order such as 3 and 5 or -31 and -29, that are each 2 numbers apart. In this problem you are searching for 2 consecutive odd integers. Let x = the ?rst and smallest consecutive odd integer. Let x + 2 = the second (and larger) consecutive negative odd integer. Sum is a key word for addition so the equation becomes (x)+ (x + 2) = -112. Combine such as terms on the left side of the equation: 2x + 2 = -112. Subtract 2 from both sides of the equation: 2x + 2 - 2 = -112 - 2; simplify: 2x = -114. Divide each side of the equation 2x = -114/2 by 2: 114/2 = 2/2. The variable is now alone: x = -57. Thus the larger value is: x + 2 = -55.
Ratio - situations in which we need to compare two quantities in terms of their ratio. (e.g., if Munna weighs 40 Kg. and Munni weighs 50 Kg., find the ratio of their weights.)
How do you find the ratio for these problems?
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