2條S.4 maths~~!!

2014-04-21 6:16 am
1. A two-digit positive number is decreased by 27 when its digits are reversed. The product of the two digits is 10. Find the number.

2. Solve the equation log(base2)(x+1)=5.

回答 (1)

2014-04-21 7:32 am
✔ 最佳答案
Let the two-digit positive number is xy

(10x + y) - (10y + x) = 27...(1)

xy = 10...(2)

From (1), 10(x - y) + (y - x) = 27

x - y = 3 or x = y + 3

Sub. into (2) y(y + 3) = 10 => y = 2

Then x = 5 and the number is 52

(2) log_2 (x + 1) = 5

2^5 = x + 1

32 = x + 1

x = 31


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