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ATQ,
Let the smaller number = ‘x’
Greater number = (98 – x)
Product of the numbers = product of their LCM and HCF
Or, x(98 – x) = 9 × 315
Or, 98x – x² = 2835
Or, x² – 98x + 2835 = 0
Or, x² – 63x – 35x + 2835 = 0
Or, x(x – 63) – 45(x – 63) = 0
Or, (x – 63)(x – 45) = 0
Or, x = 63, 45
So, smaller number = 45
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