Thread: Find Larger Number

Two numbers are in the ratio 2:5. If 6 is subtracted from
their sum, the result is 50. What is the larger number?

Originally Posted by symmetry

Two numbers are in the ratio 2:5. If 6 is subtracted from
their sum, the result is 50. What is the larger number?

Let the larger number be x and the smaller y.

They are in the ratio 2:5 so:

y/x=2/5.

The second condition tell us that:

x+y-6=50.

From the first equation y=2x/5, which we substitute into the equation above:

x+2x/5=50,

or:

7x/5=50

7x=250

x=250/7.

RonL

I can now solve similar questions.

Thanks!