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Simple Algebra

發問:

1.If(a,b,c)represnt the H.C.F of a,b and c,what is the value of(28,64,80)? 2.A man drove for 2 hours and then walked for 1 km to reach his friend's house,The total distance he has travelled was 65 km.What was the speed of the car?

最佳解答:

1. 28 = 2^2 x 7 64 = 2^6 80 = 2^4 x 5 The H.C.F. of 28, 64 and 80 is 2^2 = 4 The value of ( 28, 64, 80 ) is 4. 2. The man drove for 2 hours and the distance travelled was 64 km ( 65 km – 1 km ). The speed of the car was : 64 km / 2 hours = 32 km /hour

其他解答:

Answer of question 1: In order to solve this problem, we should first express the three numbers into the product of prime numbers. 28=2^2*7 64=2^6 80=2^4*5 Then, we take those prime numbers which are the prime factor of the three numbers at the same time. Hence, the required answer=2*2=4 Answer of qusetion 2: Let x km/h be the speed of the car According to the question, we have the following equation: 2x+1=65 x=32 Thus, the required speed is32(km/h).
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