A number is divided into two parts in such a way that 60% of 1st part is 2 more than the 40% of 2nd part and 60% of the 2nd part is 1 more than the 40% of 1st part. Find the numbers.
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Answer:
The numbers are 8 and 7
Step-by-step explanation:
let the numbers X and Y
0.6X = 0.4Y + 2 6X = 4Y + 20 X = (4Y + 20)/6
0.4X + 1 = 0.6 Y 4X + 10 = 6Y 4(4Y+20)/6 + 10 = 6Y
16Y/6 + 80/6 + 10 = 6Y
(6 - 16/6) Y = 80/6 + 10
20 Y = 140
Y = 7
ie, X = (4*7 +20)/6 = 48/6 = 8
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