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32. The product of the ages of two sister is 104. The difference between their ages is 5. Find theirages. |
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Answer» Let the age of the sisters be x and y Given xy=104...(1)x-y=5...(2)From (1)y=104/x Substitute in (2) x-(104/x) =5x²-104=5xx²-5x-104=0sum=-5; product=-104numbers=-13,8x²+8x-13x-104=0x(x+8)-13(x+8)=0(x-13)(x+8)=0x=13,-8Thus age of 1st sister=13y=x-5=13-5=8 Thus age of 2nd sister=8 |
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