Subject

    Quantitative Aptitude

    Topic

    Algebra

    Four years ago, Shyam's age was 3/4 times of that of Ram. Four years hence, Shyam's age will be 5/6 times that of Ram. Find the present age of Shayam.

    ক)
    16 years
    খ)
    32 years
    গ)
    18 years
    ঘ)
    22 years
    ঙ)
    None of these

    Explanation

    4 years ago, let Ram's age = x years and Shyam's age = 3x/4 years Now, Ram's present age = (x + 4) years And Shyam’s present age = {(3/4)x + 4} years Now, according to the question, 56(x+4+4)=(34x+4+4)\frac{5}{6}\left( {x + 4 + 4} \right) = \left( {\frac{3}{4}x + 4 + 4} \right) ⇒ 4 (5x + 40) = 6(3x + 32) ⇒ 20x + 160 = 18x + 192 ⇒ 2x = 32 ⇒ x = 16 Hence, present age of Shyam = (3/4) × 16 + 4 = 16 years. Hence, the required answer is 16 years

    Find Tutors

    View all Tutors