X is between 90 and 100. When divided by 7, there's remainder of 5. What's X?

Answer 1

91 /7= 13
91 + 5 = 96

x=96

Answer 2

well you know that the numbers can be 90, 91, 92, 93 , 94, 95, 96, 97, 98, 99 or 100. If a number divides evenily by 7 then you automatically rule it out. Whatever number has a remainder of 5 after being divided by 7 would be the answer.
In other words find the number that divides evenly by 7 and then add 5 to it.

Answer 3

You know that X - 5 is a multiple of 7.

If 90 < X < 100, then 85 < X-5 < 95

The only multiple of 7 between 85 and 95 is 91 = 7*13, so X - 5 = 91 therefore X = 96.

Answer 4

90 < x < 100
This is shorthand notation for the combined statement 90< x, x<100. Since we know that x%7=5 (that is, the modulus or remainder of x/7 is 5) we can express x as the sum of 5 and the product of 7 and some whole number (n): 7n+5. Since x = 7n+5, we can substitute it for x
90 < 7n + 5 < 100 {remember, this is 90<7n+5, 7n+5<100}
85 < 7n < 95 {Again this is shorthand, we're actually performing the same operation (subtracting 5) to two different equations}
12.1 < n < 13.2 {And here we divide by 7 in both equations}

Since we know that n has to be a whole number; n must equal 13. So we work back to our starting point.
x=7n + 5
x =(7*13) + 5
x = 91 + 5 = 96

Answer 5

90 < x < 100
x = 7*y + 5
if y= 13
x = 7 * 13 + 5
X = 96
90 < x=96 < 100

Answer 6

91 would give you a remainder of 0 (91=7*13). So X would be 5 more, or 96.

Answer 7

96

Answer 8

96

Answer 9

90/7, remainder is 6
91/7, remainder is 0
92/7, remainder is 1
93/7, remainder is 2
94/7, remainder is 3
95/7, 4
96/7, 5

Answer is 96

Answer 10

96
94/7 = 13 R 5