The difference of two numbers is 40. Find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.

Answer:Let the two unknown numbers be x and y.

So, x-y=40 ... Equation 1

And 0.3 (x) = 37.5/100 (y)

From equation 1, x=40+y

Now, multiply through by 100 in equation 2.

We have,

30x = 37.5 (y)

We can multiply through by 10 again, so that the number on the L. H. S becomes a whole number.

Therefore, we have

300x = 375 (y)

Put "x=40+y" in the equation above

That is, 300 (40+y) = 375 (y)

1200 + 300y = 375y

1200 = 375y - 300y

1200 = 75y

Divide both sides by 75 to get your y

Therefore, y = 16

From equation 1, we had x = 40 + y

Therefore X = 40 + 16

X = 56

Therefore the two unknown numbers are 56 and 16 respectively.