The age difference between two sisters is 6. If the ratio of
two ages is 5:7, how old are
they?
(Please Help!)

9514 1404 393

  15 and 21

Step-by-step explanation:

I like to work these considering the difference in ratio units.

The age ratio is 5 : 7.

The age difference in ratio units is 7 - 5 = 2. The difference in years is 6, so each ratio unit must be 6/2 = 3 years. Multiplying the ratio numbers by 3, we get the actual ages as ...

  5 : 7 = (3·5) : (3·7) = 15 : 21

The two sisters are 15 and 21 years old.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.