Question

the sum of the recipocal of two consecutive even number is 7/24.one number is 6.the other number will be​

Answer 1

8

Explanation:

The numbers are 6 and 2x, then:

• 1/6 + 1/(2x) = 7/24
• 1/3 + 1/x = 7/12
• (x+3)/(3x) = 7/12
• 12(x+3) = 7*3x
• 12x + 36 = 21x
• 21x - 12x = 36
• 9x = 36
• x = 4

The other number is 2*4 = 8