1.

The LCM and HCF of the two numbers are 144 and 2 respectively. If the ratio of two numbers is 8 : 9, then the larger of two numbers is:1). 122). 403). 844). 18

Answer»

LET two NUMBERS be A and B respectively.

Given,

⇒ A × B = 144 × 2

And, A : B = 8 : 9

⇒ A = 9B/8

Solve above equation,

⇒ 9B/8 × B = 288

⇒ 9B2 = 288 × 8

⇒ B = 16

⇒ A = 16 × 9/8 = 18

∴ Largest of two numbers is 18.


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