Question

sum of 4 consecutive even number are 94 more than the sum of 3 consecutive odd numbers and if average of largest even number and smallest odd number is 42.Then find the 2nd lowest number​

Answer 1

Step-by-step explanation:

Let x be the first (smallest) even number; y, the first (smallest) odd number. Taking into account that the difference between two consecutive even numbers (ditto for two consecutive odd numbers) is always 2, from the first sentence of this problem we have

x + x + 2 + x + 4 + x + 6 = 83 + y + y + 2 + y + 4

x + x + x + x + 2 + 4 + 6 = y + y + y + 83 + 2 + 4

4x + 12 = 3y + 89

4x = 3y + 89 - 12

4x = 3y + 77 (a)

From the second sentence we have

y + x + 6 = 69

y = 69 - x - 6

y = 63 - x (b)

Substituting (b) into (a) we have

4x = 3(63 - x) + 77

4x = 189 - 3x + 77

4x = -3x + 266

4x + 3x = 266

7x = 266

x = 266/7

x = 38

So, the smallest even number, x, is 38.