7 is added to the sum of4/5 ang 67
Answers
Step-by-step explanation:
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Step-by-step explanation:
hello
Let's see.
Let the initial number be n .
When 7 is added to it, we have n+7
When multiplied by 5, we get 5(n+7)
When divided by 5(n+7)/9
Let the quotient of the above division be q
Now, when 3 is subtracted from the quotient of the above division ( q) , we are left with 12. So,
q−3=12
So we know that q=15
Now, since q was the quotient, there may or may not have been a remainder. So we now know that 5(n+7)/9 lies in the range [15,16) . That means the fraction has a value greater than or equal to 15, but less than 16.
This means that 5(n+7) lies in the range [135,144) and n+7 lies in the range [27,28.8)
Now, since n is an integer, n+7 can either be 27 or 28.
Thus we get 2 values of n, 20 and 21.