Ratio of two sums of money is 4:3
if larger sum of money is increased by $40, the ratio becomes 2:1.
What are sums of money ?
How to solve this ?
Solution
(4/7)*x+(3/7)*y=4:3
cant understand it....
Dear haftakhan,
Let x and y be the sums of money. Take x as the larger sum.
$\displaystyle \frac{x}{y}=\frac{4}{3}$
If larger sum of money is increased by $40, the ratio becomes 2:1.
Therefore, $\displaystyle \frac{x+40}{y}=2$
Solve these two equations and find x and y.
ratio of two sums = 4 : 3 = $\displaystyle \frac{4}{3} = \frac{4x}{3x}$ ........... (1)
When $40 is increased to the larger sum, the ratio is = $\displaystyle \frac{4x+40}{3x} = \frac{2}{1}$.........(given)
$\displaystyle \therefore 1\times (4x+40) = 2\times{3x}$
= $\displaystyle 4x + 40 = 6x$
= $\displaystyle 40 = 6x-4x$
= $\displaystyle 2x = 40 $
= $\displaystyle \therefore x = 20$
By replacing the value of x in the first equation, we get $80 and $60.
So the sum of $80 and $60 = $140.
We had $140. Answer.
I think you have understood this. All the best