X:y= 3:4 , y:z= 5:6, z:w= 7:8 then x:y:z:w is
Answers
Answer:
135:244
Step-by-step explanation:
If x:w=3:8, x:y=4:9 and z:y=5:7, then what is z:w?
Let’s consider the first two ratios and bring them to certain common base.
x:w = 3:8 and x:y = 4:9
Let’s multiply the first ratio by 4 and the second ratio by 3 (when we do this, we multiply the Numerator and the Denominator by the same number, so as to keep the original ratio intact. Therefore, we get
x:w = 3*4:8*4 = 12:32 and x:y = 4*3:9*3 = 12:27
Since 12 is common in both the ratios, we have w:y = 32:27.
Now we have 2 ratios
w:y = 32:27 and z:y = 5:7
Multiplying w:y by 7 and multiplying z:y by 27,we get
w:y = 32*7:27*7 = 224:189 and z:y = 5*27:7*27 = 135:189
So, we have w:y =224:189 and z:y =135:189 and thus, we have z:w = 135:224.
z:w = 135:224 is the required answer.