Let the required number be N.
So 3/4 x 1/5 x N = 60
? 3N / 20 = 60
? N = 400
Let the number be N.
So from question 2N/5 + 25 = N
? 2N + 125 = 5N
? 3N = 125
? N = 125/3
Let the number be N.
Then, N/5 - 5 = 5
? N - 25 = 25
? N = 50
Let the original number be N.
So from question N - 3N/4 = 19
? 4N - 3N = 76
? N = 76
Let the required number is N.
Then, N/3 - N/4 = 12.
? 4N - 3N = 144
? N = 144
Let the number be x.
Then, x - 31 = 55 - x
? 2x = 55 + 31= 86
? 2x = 86
? x = 43
Let the two number be x and (x + 1)
Then, (x+1)2 - x2 = 35
? 2x = 34
? x = 17
So, the number are 17 and 18
Let the number be 3N and 4N.
Then, 3N + 4N = 420
? 7N = 420
? N = 60
? Greater number = 4 x 60 = 240
Let the numbers be a and b.
Then, a + b = 100 and a - b = 37
? a2 - b2 = (a+b) (a-b)
= 100 x 37
= 3700
Let the number be x and (x + 8)
Then, 1/8[x + (x + 8)] = 35
? 2x + 8 = 280
? 2x = 270
? x = 136
So, the number are 136 and 144.
Let the number be a and b
Then, (a-b) = (a2 - b2) / a+b
= 145/29
= 5
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