<PRE><B>Question 1207346</B>
Amana owns two houses in the same community. The ratio of the values of the first to the second house is 10: 15 respectively. It is estimated that in 6 years, the value of the first house will increase by 35% and that of the second house will increase by $30,825.00. If the new ratio is 3: 4, find the original value of the first house.

The ratio of the values of the first to the second house is 10: 15 respectively. 
Let the common multiple be x

 Values of the first house will be 10x
  the value of second house will be 15x

Value of the first house after 6 years will be 1.35* 10x

Value of the second  house after 6 years will be 15x  +30825.00

Now the ratio is 3:4

(1.35* 10x)/(15x  +30825.00) =3/4

13.5x /(15x  +30825.00)= 3/4

4* 13.5x = 3*(15x  +30825.00)

54x = 45x +92475

9x = 92475

x =10275

Value of first house = 10x = 102,750
Value of second house = 15x =  154125

CHECK 

(102750+ (1.35*10275))/(154125+30) =0.756



 The original value of the first house is $ 102,750.00

























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