The bar graph shows the total number of male and female lives in four different towns and table shows the number of males and females whose ages are above 40 years. Read the data carefully and answer the questions below:

Ratio of age A after two years to the present age of B is 5: 6 and ratio of age of A 8 years hence to the age of B 6 year hence is 6: 7. Find B’s present age.

Options

A. 30
B. 34
C. 36
D. 28

Answer

C

Explanation

Let the age of A be x years and age of B be y years,
A.T.Q,
`(A+2)/B=5/6`
6A+12=5B
6A-5B=-12 …….(i)
`(A+8)/(B+6)=6/7`
7A + 56 = 6B + 36
7A – 6B = - 20 ----------- (ii)
On solving eq. (i) and (ii), we get
A = 28 and B = 36