if two numbers are in the ratio of 2 : 3 and the product of their HCF and LCM is 33750 what will be the sum of the numbers.
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Step-by-step explanation:
Let the numbers be 2x and 3x Then
2x×3x=33750⇒6x 2=33750⇒x 2
=5625⇒x 2=54 ×32
⇒x=5 2 ×3=75
∴ The two numbers are 2 x 75 and 3 x 75 i.e.
150 and 225
∴ Required sum =150+225=375
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