Question

If 30% of (B – A) = 18% of (A + B), then the ratio A : B is equal to :

Answer 1

5(b-a)=3(a+b)
5b -5a =3a + 3b
2b =8a
a/ b = 2/8 =1:4

Answer 2

Ratio of A:B is 1:4.

Step-by-step explanation:

Since we have given that

30% of (B-A) = 18% of (A+B)

According to question, we get that

$\dfrac{30}{100}(B-A)=\dfrac{18}{100}(A+B)\\\\30(B-A)=18(A+B)\\\\30B-30A=18A+18B\\\\30B-18B=18A+30A\\\\12B=48A\\\\B=4A\\\\\dfrac{A}{B}=\dfrac{1}{4}$

Hence, Ratio of A:B is 1:4.

# learn more:

If 30% of * (B-A) = 18% of ( A+B) them find the ratio of A and B . (A:B) .​

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