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Option 1 : 210
Given:
LCM = 56 × HCF
HCF + LCM = 1710
Formula used:
HCF × LCM = Product of two numbers
Calculation:
Let, HCF = x and LCM = 56x
So, x + 56x = 1710
⇒ 57x = 1710
⇒ x = 1710/57 = 30
Then, HCF = 30 and LCM = 30 × 56 = 1680
One number = 240
Let, another number = a
Therefore, 30 × 1680 = 240 × a
⇒ a = (30 × 1680)/240 = 210
∴ The other number is 210
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