# The ages of rahul and Sanjay are in the ratio 8:9. Ten years later, the sum of their ages is 105 years. What are their present ages?

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by rajcouns
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2015-10-02T14:32:09+05:30

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8x/9x.
Ratio 8x:9x.
Ten years later,
8x+10+9x+10=105.
17x+20=105.
17x=85.
Therefore, x=85/17
x=5.
Therefore, 8x=40.
9x=45.
Their present ages are, 40 and 45.

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2015-10-02T15:15:54+05:30
Say the coefficient is x.

8x : 9x
Ten years later the sum will be 105. Then:
8x+9x+10+10=105
(8x+9x)+20=105
17x+20=105

Use axioms to solve:
17x+20-20=105-20
17x=85
17x/17=85/17
x=5

Raul's age is now 8x = 40.
Sanjay's age is now 9x = 45.

Ans:  Raul is 40 and Sanjay is 45 yrs old.