4/5 of a number is 10 more than 2/3 of the number.find the number
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Answer:75
Step-by-step explanation:
Four-fifths of the number is (4/5)x
Two-thirds of the number is (2/3)x.
10 more than two-thirds of the number is (2/3)x +10.
Hence the given problem will be (4/5)x =(2/3)x +10
I.e., 4x/5 = 2x/3 +10
Multiply through out by 15 which is the LCM of 5and 3 we get
12x=10x+150
12x-10x = 150
2x = 150
x = 75
Hence the required number is 75.
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