a number is obtained by subtracting certain number from hundred.when this resultant number is divided by 5 as well as by 7 the remainder is 1 in both the divisions but the quotient obtained by dividing the number by 5 is 4 more than the quotient obtained by dividing the number by 7 .find the number subtracted from 100.
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Answer:
The number subtracted from 100 is 29.
Step-by-step explanation:
Let us call this difference as x.
What we know:
1) Dividing x by 7 or 5 gives 1 as remainder.
2) The quotient from x/5 = The quotient from x/7 + 4.
Solution:
The numbers divisible by both 7 and 5 which are less than 100 are 35 and 70.
The quotients from division by 5 and 7 are as follows:
35 / 5 = 7, 35 / 7 = 5,
70 / 5 = 14, 70 / 7 = 10
Note point (2) from what we know. Now note point (1). These points tell us that x is 71. So, x is 71.
Now, note that we need to find the difference between x and 100. This difference is 100 - 71 = 29.
Therefore, the number subtracted from 100 is 29.
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