Three times a number is 20% more than twice another number when increased by 105. If twice the first number increased by 36 is 20% less than three times of the second number, then what is the first number?  Choose the most appropriate option:  A) 150  B) 162  C) 180  D) 170  E) 160
Let the two numbers be x and y.   3x = 1.2( 2y +105)   3x = 2.4y +126 ………………..(1)   2x +36 = 0.8(3y)   2x +36 =2.4y ………………..(2)   x = 162   ANSWER:162
<result>B</result>
Three times a number is 20% more than twice another number when increased by 105. If twice the first number increased by 36 is 20% less than three times of the second number, then what is the first number?