The difference between the sum of four consecutive odd numbers and three consecutive even numbers together is 20. Also, the largest even number Is 5 more than the largest odd number. What Is the sum of the smallest odd number and the smallest evennumber?
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Answer:
77
Step-by-step explanation:
Let the consecutive odd numbers be:
x, x+2, x+4 and x+6
∴ Largest even number = x+11 and other even numbers
= x+7 and x+9
∴ x + x + 2 + x + 4 + x + 6 -(x + 7+ x + 9 + x + 11 )=20
=>x - 15 =20
=>x =15 + 20 =35
∴ Required sum = x + x + 7
=2x + 7 = 2×35+7=77.
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