Rajhans age is one fifth his father's age after 6 years his age will be one third his father's age how old are they now?
Answers
Answer:
Raja's age is one fifth his father's age" translates into: And "After 6 years,his age will be one third his father's age" translates into: (Note the use of parentheses. This is critical when using multiple term expressions, like f+6, to express a single value (the father's age in 6 years).
Step-by-step explanation:
Let r = Raja's age and
let f = father's age
In six years they will both be six years older. So
r + 6 = Raja's age in 6 years
f + 6 = father's age in 6 years
With two variables we will need two equations. "Raja's age is one fifth his father's age" translates into:
r+=+%281%2F5%29f
And "After 6 years,his age will be one third his father's age" translates into:
%28r%2B6%29+=+%281%2F3%29%28f%2B6%29
(Note the use of parentheses. This is critical when using multiple term expressions, like f+6, to express a single value (the father's age in 6 years). In this case it helps us see that the 1/3 should be distributed.)