Question
After 12 years, "Aman" will be three times as old as he
was 20 years ago. The age difference between "Aman" and "Bhanu" in twelve years will be 4:5, respectively. Determine the current age of "Chetna" if the average age of "Aman," "Bhanu," and "Chetna" is 38 years old.Solution
ATQ, Let present age of ‘Aman’ be ‘a’ years So, 3(a – 20) = a + 12 Or, 3a – 60 = a + 12 Or, 2a = 72 Or, a = 36 Present age of ‘Bhanu’ = 5/4 × {36 + 12} – 12 = 60 – 12 = 48 years Present age of ‘Chetna’ = 38 × 3 – 36 – 48 = 30 years
Find the equation of the line passing through the point (3, 4) and having a slope of 2.
- A sum of Rs. 55,000 becomes Rs. 72,600 after 2 years when invested at simple interest at r% per annum. What will be the simple interest earned on Rs. 80,00...
P invested Rs. 7,000 at a simple interest rate of 22% per annum, while Q invested an unknown sum at a compound interest rate of 2...
If the sum of remainders, obtained on dividing 52436 by 22 and 59461 by 73, is divided by 13, then the remainder will be:
A person who spends 55% of his salary saves the remainder. His salary goes up by 15%, but his savings stay the same, and he now spends Rs. 3,300 more. D...
'O' is the incentre of △ABC. Given that ∠ABC = 64° and ∠BCA = 96°, determine the measure of ∠BOC.
Find the simplified value of the following expression:
(16.25 × 24 + 7 × √36) ÷ 23 + 3.75 × 16 – 37 × 2 + 7.5
...In the expansion of (1 + x)¹⁵ , what is the ratio of the coefficients of the 6th term to the 9th term?
If sin A + cos A = 1, what is the value of tan A?
Relevant for Exams:
