1.

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

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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