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algebra
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20
If (a + b) : (a - b) = 15 : 1, then what is the ratio (a² + b²) : (a² - b²)?
hard
algebra
csat
mathematics
ratio
View
The sum of two numbers is 40 and their difference is 4. What is the ratio of the two numbers?
medium
algebra
arithmetic
mathematics
upsc
View
Find a third proportional to (x² - y²) and (x - y).
hard
algebra
mathematics
ratio
upsc
View
The third proportional to (a² - b²) and (a - b) is:
hard
algebra
mathematics
proportion
upsc
View
If a : b = c : d, then (ma + nc) : (mb + nd) is equal to:
hard
algebra
mathematics
proportion
upsc
View
If x/5 = y/8, then (x+5) : (y+8) is equal to:
medium
algebra
basics
mathematics
ratio
View
If 4a = 5b and 7b = 9c, then find the ratio a : c.
easy
algebra
basics
mathematics
ratio
View
If a/b = 4/5 and b/c = 15/16, then (c²-a²) / (c²+a²) is:
hard
advanced
algebra
mathematics
ratio
View
The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1,250. Find the numbers.
medium
algebra
mathematics
ratio
upsc
View
If a : b = c : d, then (ma + nc) / (mb + nd) is equal to:
hard
algebra
mathematics
ratio
upsc
View
If x : y = 3 : 4, then find the value of (7x + 3y) : (7x - 3y).
easy
algebra
csat
mathematics
ratio
View
If a : b = 2 : 1, then the value of (a² - b²) : (a² + b²) is:
easy
algebra
mathematics
ratio
upsc
View
If x : y = 5 : 2, find the value of (8x + 9y) : (8x + 2y).
easy
algebra
csat
mathematics
ratio
View
Two numbers are in the ratio 1 : 2. If 7 is added to both, their ratio changes to 3 : 5. Find the greater number.
medium
algebra
csat
mathematics
ratio
View
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 124. What is the current age of the father?
hard
algebra
csat
mathematics
upsc
View
If a/2 = b/3 = c/4, then find A:B:C.
easy
algebra
mathematics
ratio
upsc
View
If (x + y) : (x - y) = 4 : 1, then (x² + y²) : (x² - y²) is equal to:
hard
algebra
mathematics
ratio
upsc
View
If x : y = 3 : 4, then find (7x + 3y) : (7x - 3y).
easy
algebra
csat
mathematics
ratio
View
If x/5 = y/8, then (x + 5) : (y + 8) is equal to:
medium
algebra
mathematics
ratio
upsc
View
If x : y = 3 : 2, then find the value of (x + y)² : (x - y)².
easy
algebra
csat
mathematics
ratio
View