The ages of Ram and Shyam are in the ratio 7:6 and the sum of their ages is 78 years. Find the age of Ram and Shyam, respectively (in years).

Options

A. 36, 43
B. 42, 36
C. 30, 48
D. 40, 38

Answer

b

Explanation

The ratio of ages of Ram and Shyam = 7:6.
Let the ages of Ram and Shyam be 7x years and 6x years, respectively.
Sum of their eges = 78
`rArr 7x + 6x = 78 rArr 13x = 78`
`rArr x = 6`
`therefore " Age of Ram" = 7 xx 6 = 42 " years"`
`"Age of Shyam" = 6 xx 6 = 36" years"`
Hence, the correct option is (b).