9514 1404 393
Answer:
297 miles
Step-by-step explanation:
The round-trip distance from X to Y is double the one-way distance. The distance from X to Y is 648/2 = 324 miles.
That distance is the sum of distances from X to Z and Z to Y. Then ...
XZ +ZY = XY
27 +ZY = 324
ZY = 297
It is 297 miles from City Z to City Y.
Let Mary's age be x.
Paul is three times as old as Mary, so Paul's age would be 3x.
Peter is four times as old as Mary, so Peter's age would be 4x.
The sum of their ages is 64
⇒ Paul's age+ Peter's age+ Mary's age= 64
⇒ 3x+ 4x+ x= 64
⇒ 8x= 64
⇒ x= 64/8
⇒ x= 8
Paul's age is: 3x= 3*8= 24
Peter's age is: 4x= 4*8= 32
Final answer: Paul is 24 years old.
Peter is 32 years old.
Mary is 8 years old.
Hope this helps~
5x + 10x = 180
15x = 180
X = 12
5 x 12 = 60
10 x 12 = 120
The angles are 60° and 120°