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Let the number be x
When 10 is added, number = x + 10
When 7 is multiplied, number = 7 X (x + 10)
According to question,
?[7 X (x+10) / 5] ?5 = 44
?7x + 70 = 49 X 5
?x + 10 = 35,
?x = 25
1 < 4n + 7 < 200
n can be 0, or -1
n cannot be -2 or any other negative integer or the expression 4n + 7 will be less than1.
The largest value for n will be an integer < (200 - 7) /4
193/4 = 48.25, hence 48
The number of integers between -1 and 48 inclusive is 50
The best approach is to pick a number that satisfies the rules that x and y are greater than 0. So for example you could choose 25 for y.
The value of x before doubling is then 25 - 50/25 = 23
The value after doubling y will be 50 - 50/50 = 49, which is more than double.
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