Question

If three times the larger of two numbers is four times the smaller and the difference between the numbers is 8, then the larger of the two numbers is:

Answer 1

Answer:

Larger number = 32

Step-by-step explanation:

Smaller number = x

Larger number = y

y - x = 8    -----------(I)

3y = 4x  ---------------(II)

3y/4 = x

Plug in x = 3y/4 in equation (I)

$y - \frac{3}{4}y = 8\\\\\frac{4}{4}y - \frac{3}{4}y = 8\\\\\frac{1}{4}y = 8$

 y = 8*4

  y = 32

Plug in y = 32 in equation (II)

3y = 4x

3*32 = 4x

4x = 3*32

x = $\frac{3*32}{4}$

x = 3 *8

x = 24