D.LET X= THE SMALLER INTEGER. THE RATIO OF 1 TO 4 CAN BE WRITTEN A...

39. d.Let x= the smaller integer. The ratio of 1 to 4 can be written as 1xto 4xor . Add 6 to the smaller

4x

x

6

1

integer, set the ratio equal to , and solve. . Cross-multiply to get 2x+ 12 = 4x. Subtract 2x

4x

¹

2

2

from both sides of the equation. 2x– 2x+ 12 = 4x– 2x. 12 = 2x,so 6 = x. If the smaller integer is 6,then the larger integer is 6 ×4 = 24.