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

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) (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;

4 years in the future n+4 and g+4;

---- 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

10(n+4)=11(g+4)
10n+40=11g+44
10n-11g=44-40

Multiply the first one by 2 subtract it from the second one:

from which you can easily finish solving for n.
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