Question
The ratio of present ages of R
and Q is 5:7, respectively. The difference between the ages of R and Q is ____ years, and the ratio of their ages after 10 years will be ____. Which of the following options can be used to fill the blank in order to make the given statement true? I. 4, 5:6 II. 8, 15:19 III. 2, 15:17 IV. 10, 7:10Solution
ATQ, Let, present ages of R and Q be ‘5x’ years and ‘7x’ years, respectively. Difference in ages = 7x – 5x = 2x years Option I: 2x = 4 x = 2 Ratio of ages after 10 years = (10 + 10):(14 + 10) = 20:24 = 5:6 Option I can be the answer. Option II: 2x = 8 x = 4 Ratio of ages after 10 years = (20 + 10):(28 + 10) = 30:38 = 15:19 Option II can be the answer. Option III: 2x = 2 x = 1 Ratio of ages after 10 years = (5 + 10):(7 + 10) = 15:17 Option III can be the answer. Option IV: 2x = 10 x = 5 Ratio of ages after 10 years = (25 + 10):(35 + 10) = 35:45 = 7:9 Option IV can’t be the answer.
An integer 'p' is added to each of 7, 15, 27 and 45 so that the resulting numbers will be in proportion in given order only. Find the value of '(p + 4)'.
What must be added to each term of the ratio 2:5 so that it may equal to 3:4?
In an office, the ratio of the number of males to number of females is 9:4. If 2 males joined the class and 8 females left the class, then the ratio of ...
The ratio between two numbers is 7:8. If each number is increased by 9, the ratio between then become 10:11, find the difference between numbers.
An amount is distributed among X, Y, Z, and W in the ratio 8:5:3:7 respectively. If the amount received by Y is Rs. 1,250 , then find the amount receive...
Two numbers are in the ratio 5:3. After adding 4 and 7 to them respectively the ratio becomes 2:3. Find the bigger number.
Three numbers ‘L’, ‘M’ and ‘N’ are such that ‘L’ is five times of ‘M’ and ‘N’ is equal to the average of ‘L’ and ‘M’. I...
In a class, the ratio of number of boys to number of girls is 10:7. If 5 boys joined the class and 3 girls left the class, then the ratio becomes 5:3. F...
An integer 'p' is added to each of 6, 14, 22 and 34 so that the resulting numbers will be in proportion in given order only. Find the value of '(p + 4)'...
The ratio of two numbers is 6:7. If each number is decreased by 3, the ratio becomes 9:11. Find the smaller numbers.
