Three numbers are in the ratio 2: 3: 5. By adding 7 to each of the numbers then the ratio changes to 3: 4: 6. The smallest number is:
Let's denote the three numbers as 2a, 3a, and 5a. According to the problem, by adding 7 to each of these numbers, the new numbers become 2a + 7, 3a +7, and 5a+ 7. The new ratio is given as 3:4:6. Therefore, we can set up the following proportion equations: 2a+7/3 = (3a +7)/4 =5a +7/6 First, consider the ratio – 2a+7/3 = (3a +7)/4 4(2a+7) = 3(3a +7) Expanding both sides: 8a + 28 = 9a + 21 a = 7. And that numbers – 2a =14 3a=21 5a=35. The smallest number is 14. Smart Approach- Old ratio = 2 :3 :5 +1 +1 +1 New ratio = 3 :4 :6 ATQ- 1=7unit Old numbers =14,21,35.
25 men can complete a piece of work in 13 days. One man starts the work and after every day one more man joins the work and this continues till the work...
A can do a work in 12 days and B in 16 days. If they work on it together for 3 days then in how many days the remaining work will be completed by B?
Virat can do a piece of work in 30 days and Sachin can do the same work in 45 days. If Virat works for 5 days and got Rs. 2100, and the remaining work w...
A, B and C can complete a work in 2 days. If A alone can complete the same work in 6 days and B in 4 days, how long will it take for C to finish the wor...
15 men can complete a piece of work in 5 days, while 20 women can complete it in 5 days. 8 men start working on the job & after working for 3 days, ...
If 14 men working 14 hours a day can make 14 quilts in 14 days, then in how many days 28 men working 28 hours per day will make 28 quilts?
A and B do some work, the efficiency of A is 25% more than that of B. If B does a piece of work in 10 days more than A. Then find out in how much time b...
24 delivery boys can complete a delivery in 15 days. If 12 boys start the same work, and after 12 days, 'd' more boys join the work, completing the rema...
‘A’ alone can do some work in 22 days. ‘B’ and ‘C’ together can do the same work in 12 days. If ‘B’ is half as efficient as ‘A’, the...
P and Q can separately finish the work in 15 days and 25 days respectively. They worked together and P left the work, so Q complete the remaining work i...