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If x:y=8:3, then (x+y):(xтИТy)=?
5 : 11
11 : 5
5
5 : 2
11 : 5
Substitute x=8 and y=3 directly into the expression (x+y):(xтИТy) to get (8+3):(8тИТ3)=11:5.
x : y = 8 : 3
xтИТyx+yтАЛ
Substitute x=8 and y=3 directly into the expression (x+y):(xтИТy) to get (8+3):(8тИТ3)=11:5.
Confusing (x+y):(xтИТy) with (xтИТy):(x+y) and choosing 5:11 instead of 11:5.
Step 1: Write the given ratio
We are given that x:y=8:3. We can assume x=8k and y=3k where k is a non-zero constant.
x:y=8:3
Step 2: Calculate the sum (x+y)
Substitute the proportional values into x+y: 8+3=11.
x+y=8+3=11
Step 3: Calculate the difference (xтИТy)
Substitute the proportional values into xтИТy: 8тИТ3=5.
xтИТy=8тИТ3=5
Step 4: Form the final ratio
Taking the ratio of (x+y) to (xтИТy) gives 11:5.
(x+y):(xтИТy)=11:5
B is correct because substituting x=8 and y=3 gives (8+3):(8тИТ3)=11:5.
Ratio properties such as componendo and dividendo can also be applied directly to solve similar algebraic ratio problems efficiently.
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