the different between the sun of four consecutive odd number and three consecutive even number is 20 the large even number is 5 more than largest odd number. what is the sum of the smallest odd number and sum of smallest even number
Answers
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
Given : The difference between the sum of the four consecutive odd numbers and sum of three consecutive even number is 20.
the largest even number is 5 more than that of largest odd number.
To Find : sum of smallest even number and smallest odd number
Solution:
Four consecutive odd number
a , a + 2 , a + 4 , a + 6
three consecutive even number
b , b + 2 , b + 4
largest even number is 5 more than that of largest odd number.
=> b + 4 = a + 6 + 5
=> b = a + 7 .... Eq 1
Sum of Four consecutive odd number
= a + a + 2 + a + 4 + a + 6 = 4a + 12
Sum of three consecutive even number
= b + b + 2 + b + 4 = 3b + 6
= 3(a + 7) + 6
= 3a + 27
4a + 12 - ( 3a + 27) = a - 15 = 20
a - 15 = 20
=> a = 35
a = 35
b = 35 + 7 = 42
a + b = 35 + 42 = 77
sum of smallest even number and smallest odd number = 77
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