Subject
Quantitative Aptitude
Topic
Ratio
The ratio of x and y is 9 : 16. If both x and y are increased by 15, then the ratio becomes 2:3. Find x and y.
The ratio of x and y is 9 : 16. If both x and y are increased by 15, then the ratio becomes 2:3. Find x and y.
ক)
27 and 48খ)
36 and 48গ)
18 and 32ঘ)
24 and 36ঙ)
18 and 24Explanation
Let both the numbers be x and y Therefore, x/y = 9/16 ⇒ x = 9y/16……(1) And, (x+15)/(y+15) = 2/3 → 3x - 2y = -15…..(2) Substituting the value of x in (2). 3(9y/16) - 2y = -15 ⇒ 27y/16 - 2y = -15 ⇒ y = 48 Putting the value of y in 1 We get, x = (9 x48)/16 ⇒ x = 27Related questions
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