step by step,easily understood by kids

来源: shuangbangma 2014-04-17 07:57:27 [] [旧帖] [给我悄悄话] 本文已被阅读: 次 (803 bytes)

 

1)32x+30=58y+44
32x<3000
58y+44<3000
2)simplify first step
We get y+x-7=15*(2y-x)
X<93
Y<51
3)
From the fact sentence y+x-7=15*(2y-x)
We know when 2y-x=1, then y+x-7=15 same as x+y=22
When2y-x=2, then y+x-7=30 same as x+y=37……ect.
Until 2y-x=9,then y+x-7=135 same as x=y=142( x<93,y<51, the highest possible x+y<144)
Total 9  possibilities.
4) calculate each possibility we get
3y=23,3y=39,3y=55,3y=71,3y=87,3y=103,3y=119,3y=135,3y=151.
Only 3y=39,3y=87,3y=135 we can get  integer for y.y=13,29,45.correspondingly we get the numbers 798,1726,2654.

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晚上回来和孩子一起学习!谢谢老师! -风轻云淡水一方- 给 风轻云淡水一方 发送悄悄话 (0 bytes) () 04/17/2014 postreply 09:24:20

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