Make equations first
Consider bigger number is X and smaller number is Y
condition 1,
3X+3Y = 34----------eq 1
condition 2,
2X-5Y = 9-------------eq 2
multiply eq 1 by 2 and eq 2 by 3,
6X+6Y = 68
6X-15Y = 27
Substracting above equation,
21Y = 41
Y = 41/21
Substituting Value of Y in eq 1,
3X+3×41/21 = 34
3X = 34-41/7
3X = (238-41)/7
3X = 197/7
X = 197/21
Hence X = 197/21 and Y = 41/21
Answer:
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