1.

The sum of the two numbers is 150. If one-fourth of one is 5 more than the one-sixth of the other, find the smaller number.1. 422. 363. 724. 18

Answer» Correct Answer - Option 3 : 72

Given:

Sum of two numbers is 150

Let first number be 'a' and second number be 'b'

Calculation:

According to question, 

⇒ (a + b) = 150       (1)

Now,

One-fourth of a is 5 more than one-sixth of b 

⇒ {(a/4) - (b/6)} = 5

⇒ 3a - 2b = 60     (2)

Eq. (1) × 2 and eq. (2) × 1 multiply by and than add

⇒ {(2a + 2b = 300) + (3a - 2b = 60)}

⇒ 5a = 360

⇒ a = 72

∴ Smaller number is 72 


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