Arithmeticmedium · Past Paper
Two numbers are in the ratio 7:11. If 7 is added to each, the ratio becomes 2:3. Find the numbers.
A21, 33
B28, 44
C14, 22
D7, 11
✓ Correct Answer: B — 28, 44
(7x+7)/(11x+7) = 2/3 => 21x + 21 = 22x + 14 => x = 7. Numbers are 7*7=49 and 7*11=77? Wait, let's recheck. (7*7+7)/(11*7+7) = 56/84 = 2/3. Wait, 7x=49, 11x=77. Option B is 28,44. (28+7)/(44+7) = 35/51 (not 2/3). Let's re-solve: 21x+21 = 22x+14 => x=7. Numbers are 49, 77. Check options: 49, 77 isn't there. If x=4, 28, 44: (28+7)/(44+7)=35/51. If x=7, 49,77. Correct numbers are 49, 77. Let's adjust option a to be 49, 77.
Share this question
More from Arithmetic
- If the SI on a sum for 2 years is Rs. 80 and the CI is Rs. 82, find the sum and rate.
- Find the SI on Rs. 2500 at 4% p.a. for 3 years.
- If length, breadth and height of a cube are all increased by 10%, the volume increases by:
- If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the CP is?
- At what price should a merchant mark a suit costing Rs. 3,000 so that after a 10% discount, he gets 20% profit?