Question

20% of (A+ B) equal to 50% OF (A-B) What is the ratio of A and B

Answer 1

20% of (a+b)=50% of b

= 20/100×(a+b)=50/100×b

= 1/5×(a+b)=1/2×b

= 2×(a+b)=5×b

= 2a+2b=5b

= 2a=5b-2b

= 2a=3b

2/3=B/a

Answer 2

Answer:  The required ratio is 7 : 3.

Step-by-step explanation:  Given that 20% of (A+ B) equal to 50% of (A-B).

We are to find the ratio of A and B.

According to the given information, we have

$20\%\times (A+B)=50\%\times(A-B)\\\\\\\Rightarrow \dfrac{20}{100}\times (A+B)=\dfrac{50}{100}\times(A-B)\\\\\\\Rightarrow \dfrac{A+B}{5}=\dfrac{A-B}{2}\\\\\Rightarrow 2(A+B)=5(A-B)\\\\\Rightarrow 2A+2B=5A-5B\\\\\Rightarrow 5A-2A=2B+5B\\\\\Rightarrow 3A=7B\\\\\Rightarrow \dfrac{A}{B}=\dfrac{7}{3}\\\\\Rightarrow A:B=7:3.$

Thus, the required ratio is 7 : 3.