InterviewSolution
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The sum of 8 consecutive even numbers is 456. Also average of 4 consecutive odd numbers is 88. What is the sum of largest odd and largest even number?1). 1452). 1483). 1504). 153 |
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Answer» Let the largest even number be x Let the largest ODD number be y Now Sum of 8 consecutive even numbers is 456 ∴ x + (x – 2) + (x – 4) + (x – 6) + (x – 8) + (x – 10) + (x – 12) + (x – 14) = 456 ⇒ 8x – 56 = 456 ⇒ 8x = 512 ⇒ x = 64 ∴ Largest even number is 64 We know that, Average = Sum of numbers/Total numbers Now average of 4 consecutive odd numbers is 88 $(\therefore \FRAC{{\left[ {y\; + \;\left( {y\; - \;2} \right) + \;\left( {y\;-\;4} \right) + \;\left( {y\;-\;6} \right)} \right]}}{4} = \;88\;)$ ⇒ 4y – 12 = 4 × 88 ⇒ 4y = 352 + 12 ⇒ 4y = 364 ⇒ y = 91 ∴ Largest odd number is 91 Now, Sum of largest odd and largest even number will be ∴ Sum = x + y = 64 + 91 = 155 |
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