Numerical & Mental Ability
Q.86
+2.5. -0.0
The LCM of two numbers is 114 times their HCF. If the
sum of LC

1 thought on “Numerical & Mental Ability<br />Q.86<br />+2.5. -0.0<br />The LCM of two numbers is 114 times their HCF. If the<br />sum of LC”

1. Answer:

   120

   Step-by-step explanation:

   LCM = 114 × HCF … (1)

   LCM + HCF = 2300 … (2)

   By equating (1) and (2)

   114 × HCF + HCF = 2300

   ⇒ 115 × HCF = 2300

   ⇒ HCF = 20

   Now

   LCM = 114 × 20

   ⇒ LCM = 2280

   One of the numbers is (A) = HCF × (a)

   ⇒ 380 = 20 × (a)

   ⇒ (a) = 19

   Let

   Other number (B) = HCF × (b)

   LCM = HCF × (a) × (b)

   ⇒ 2280 = 20 × 19 × (b)

   ⇒ (b) = 6

   So other number (B) = HCF × (b)

   ⇒ other number(B) = 20 × 6

   ∴ other number = 120

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