Let the original values of the first and second houses be 10x and 15x respectively.
After 6 years:
- The value of the first house will increase by 35%, so the new value will be 10x + 0.35(10x) = 10x + 3.5x = 13.5x
- The value of the second house will increase by $30,825, so the new value will be 15x + $30,825
Given that the new ratio is 3:4, we can set up the equation:
$\frac{(13.5x)}{(15x+$30,825)} = \frac{3}{4}$
Solving this equation, we get:
4(13.5x) = 3(15x + $30,825)
54x = 45x + $30,825
9x = $30,825
x = $3,425
Therefore, the original value of the first house was 10x = 10($3,425) = $34,250.
Amaka owns two houses in the same community. The ratio of the values of the first house 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. If the new ratio is 3:4, find the original value of the first house
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