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....

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- Jun 16th 2011, 11:42 PMhaftakhanRatio
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.... - Jun 16th 2011, 11:58 PMSudharakaRe: Ratio
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. - Jun 17th 2011, 12:07 AMhaftakhanRe: Ratio
solving this i get x=160 and y=120

is it correct ? - Jun 17th 2011, 12:10 AMSudharakaRe: Ratio
- Jun 17th 2011, 01:31 AMHallsofIvyRe: Ratio
$\displaystyle \frac{160}{120}= \frac{40(4)}{40(3)}= \frac{4}{3}$ so those

**are**in ratio 4:3.

But adding $40 to $160 give $200.

$\displaystyle \frac{200}{12}= \frac{40(5)}{40(3)}= \frac{5}{3}$, or 5:3, not 2:1. - Jun 17th 2011, 02:11 AMDevenoRe: Ratio
it may be easier to solve the two equations writing them like this:

3x = 4y

x+40 = 2y

one way of doing this, is to write (from the 2nd equation):

x = 2y - 40.

now use this in the first equation. - Jun 17th 2011, 03:53 AMhaftakhanRe: Ratio
i was about to post the correct answer but the light went off.

x=80 and y=60 - Jun 17th 2011, 02:08 PMmr fantasticRe: Ratio
- Jun 19th 2011, 03:59 AMgsmani9Re: Ratio problem
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