SOLUTION: HELLO SIR,I AM HAVING A PROBLEM IN THIS QUESTION ????? Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10

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Question 744800: HELLO SIR,I AM HAVING A PROBLEM IN THIS QUESTION ?????
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
n for kuNal's age now
g for saGar's age now

6 years ago n-6 and g-6;
%28n-6%29%2F%28g-6%29=6%2F5

4 years in the future n+4 and g+4;
%28n%2B4%29%2F%28g%2B4%29=11%2F10

---- A table or chart was a strategy for this problem but the two equations just found are enough to solve the problem----

Taking further steps with the equations gives us these:

5(n-6)=6(g-6)
5n-30=6g-36
5n-6g=30-36
highlight%285n-6g=-6%29

10(n+4)=11(g+4)
10n+40=11g+44
10n-11g=44-40
highlight%2810n-11g=4%29

Multiply the first one by 2 subtract it from the second one:
10n-11g-%2810n-12g%29=4-%28-12%29
-11g%2B12g=16
highlight%28g=16%29 from which you can easily finish solving for n.