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F.1 maths數學 Liner Equations in One Unknown

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p.225.The sum of two number is 56 and the difference is 22. Find the larger number.6.In a certain class, there are 8 more boys than girls. If there are altogether 44 students in the class, find the number of girls.7.When a number is increased by 32% and then multiplied by 80%, the result is 1.9008. Find... 顯示更多 p.22 5.The sum of two number is 56 and the difference is 22. Find the larger number. 6.In a certain class, there are 8 more boys than girls. If there are altogether 44 students in the class, find the number of girls. 7.When a number is increased by 32% and then multiplied by 80%, the result is 1.9008. Find the number. 8.Adding 28 to 3 times of a number is equal to 12 added to 5 times the number. Find the number.

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5. Let x be the larger number and y be the smaller number. x+y=56 ---(1) x-y=22 ---(2) (1)+(2), x+y+x-y=56+22 2x=78 x=39 Sub x=39 into (1), 39+y=56 y=17 Therefore, the larger number is 39. 6. Let x be the number of boys and y be the number of girls. x-y=8 ---(1) x+y=44 ---(2) (2)-(1), x+y-x+y=44-8 2y=36 y=18 Therefore, the number of girls is 18. 7. Let h be the number. 1.32h x 0.8 = 1.9008 1.056h=1.9008 h=1.8 Therefore, the number is 1.8. 8. Let d be the number. 28+3d=12+5d 16=2d d=8 Therefore, the number is 8.

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