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| 1. |
The sum of 2 number is 8 and the sum of their reciprocal is 8/15. Find the numbers. |
| Answer» Let one number be X. The other number be\xa0Y.GIVEN,x+y=8x=8-y ---------------(1)1/x+1/y=8/15BY SIMPLIFING 1/x+1/y=8/15 WE GET,(x+y)/xy=8/15FROM (1) WE GET,8/8y-y2=8/15y2-8y+15=0(y - 3)(y - 5) = 0y = 3 or 5WE KNOW THAT x+y=8When y=5, x=3When y = 3, x = 5 | |