Question
In four years, the age ratio of 'X' and 'Y' will be
10:13, respectively. The current average age of 'Y' and 'Z' is 54 years, and the present average age of 'X' and 'Z' is 48 years. Calculate the current age of 'X'.Solution
ATQ, Let ages of ‘X’ and ‘Y’, 4 years hence from now be ‘10a’ years and ‘13a’ years, respectively. And, present age of ‘Z’ be ‘b’ years. So, 13a + b – 4 = 54 × 2 = 108 And, 10a + b – 4 = 48 × 2 = 96 So, 3a = 108 – 96 = 12 Or, a = 4 Present age of ‘X’ = 10 × 4 – 4 = 36 years
A number is divided by 50. The quotient obtained is 60% more than the divisor, and the remainder is 80% of the divisor. Find the original number.
- 35% of 45% of 640 = z + 20.2, what is the sum of the squares of the digits in ‘z’?
A sum of money is shared in the ratio of 2:3:5. The smallest share is divided again in the ratio of 1:3. What fraction of the total sum of money is the ...
Divide 45 into 4 parts such that if the first is increased by 2, the second is decrease by 2, the third is multiplied by 2 and the fourth divided by 2, ...
Find the average of first 14 whole numbers.
Find the smallest number that when divided by 6, 8, and 15 leaves a remainder of 5 in each case.
Sum of all positive integers from 1 to 100 is
The total of six consecutive even numbers in Set A is 402. In Set B, the smallest number is 15 less than twice the smallest number in Set A. What is the...
Find the fourth proportional of 12, 24, and 30.
- A list contains nine consecutive even numbers. If the smallest number is 16% less than the largest one, what is the sum of the second smallest and the seco...
Relevant for Exams:
