Question

If the sum of 4 times a number A and 3 times a number B is equal to the sum of number B and seven times the number A, then what is the value of A:B?
a, 2:3 b,3:2 c, 4:3 d, 3:4

Answer 1

Answer: Ratio of A to B is 2:3.

Step-by-step explanation:

Since we have given that

Sum of 4 times a number A and 3 times a number B i.e. 4A+3B is equal to sum of number B and seven times the number A i,e, B+7A.

So, According to question, it becomes,

$4A+3B=B+7A\\\\3B-B=7A-4A\\\\2B=3A\\\\\dfrac{2}{3}=\dfrac{A}{B}$

So, ratio of A to B is 2:3.