A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number ?

A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number ?

A 7

B 23

C 9

D 21

Solution

Correct Answer: Option B

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23