Let the number be N.
Then, 3N/4 - 2N/3 = 5
? (9N - 8N) / 12 = 5
? N = 60
Let the number be N,
Then 4N/5 = 64
? N = 64 x 5/4 = 80
? Half of the number = 80/2 = 40
Let the other number be x.
Then, 10 + x = 2(x - 10)
? x = 30
Let the number be a and b.
Then, a2 + b2 = 80
and (a - b)2= 36
? a2 + b2 - 2ab = 36
? 2ab = (a2 + b2)-36
= 80 - 36= 44
? Product = ab = 22
Let the number be a and b .
Then, (a+b)2 = a2 + b2 + 2ab
= 289 + 2 x 120
= 289 + 240
= 529
? a+b = ?529 = 23
Let the number be N.
Then, (N/5) + 5 = (N/4) - 5
? (N/4) - (N/5) = 10
? (5N - 4N)/20 = 10
? N = 200
Let (3 + x)/ (4 + x) = 11/12.
Then, 12(13 + x) = 11 (4 + x)
? x = 44 - 36 = 8
Let the number be 4N, 5N and 6N
Then, 4N + 5N + 6N/3 = 25
or 15N = 75
or N = 5
Then largest number = 6N = 6 x 5 = 30
Let the requirement odd integers be N, N +2 and N + 4
Then, N + (N + 2) + (N + 4) = 57
? 3N = 51
? N = 17
? The integers are 17, 19, 21.
Let the required number be N,
Then, N/6 = N - 40
? N + 240 = 6N
? N = 48.
Let the number be N and (50 - N)
Then, 1/N + 1/(50-N) = 1/12
? (50 - N + N) / {N(50 - N)} = 1/12
? N2 - 50N + 600 = 0
? N = 30 or 20
? the number are 20, 30
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