Question
The ratio of present ages of A and B is 5:8 respectively
and the average of present ages of A and C is equal to 80% of the present age of B. 4 years ago from now, B was thrice as old as D. 4 years hence from now, age of D will increase by 25% as compared to his present age. Quantity I: Find the sum of present ages of A and B. Quantity II: Find the sum of present ages of C and D. In the question, two quantities I and II are given. You have to solve both the quantities to establish the correct relation between Quantity I and Quantity II and choose the correct option.Solution
Quantity I: Let the present age of D be тАШxтАЩ years. According to the question, => (x + 4) = 1.25x => x = 16 4 years ago from now, age of D = 16 тАУ 4 = 12 years 4 years ago from now, age of B = 3 x 12 = 36 years So, the present age of B = 36 + 4 = 40 years Present age of A = 40 x (5/8) = 25 years 80% of the present age of B = 40 x 0.80 = 32 years Sum of the present ages of A and C = 32 x 2 = 64 years So, the present age of C = 64 тАУ 25 = 39 years Quantity I: Sum of present ages of A and B = 25 + 40 = 65 years Quantity II: Sum of present ages of C and D = 39 + 16 = 55 years Hence, Quantity I > Quantity II
'рд░рд╕ рд╕рд┐рджреНрдзрд╛рдиреНрдд' рдирд╛рдордХ рдкреБрд╕реНрддрдХ рдХреЗ рд░рдЪрдпрд┐рддрд╛ рдХреМрди рд╣реИрдВ :
рдХреГрдкрдг┬а рд╢рдмреНрдж рдХрд╛ рд╡рд┐рд▓реЛрдо рд╣реЛрдЧрд╛ -
рднрд▓реЗ рд╣реА рдЬрдЦреНрдо рднрд░ рдЬрд╛рдПрдБ, рдордЧрд░ рдмрд╛рддреЗрдВ рдЖрдЬрдиреНрдо рдпрд╛рдж рд░рд╣рддреА рд╣реИрдВ ред
рдирд┐рдореНрдирд▓рд┐рдЦрд┐рдд рдореЗрдВ рд╕реЗ рдХреМрди рд╕рд╛ рд╡рд╛рдХреНрдп рд╢реБрджреНрдз рд╣реИ ?
' рдпреБрдХреНрддрд┐ рд╕рдлрд▓ рд╣реЛрдирд╛ ' рдЕрд░реНрде рдХреЗ рд▓рд┐рдП рдЙрдкрдпреБрдХреНрдд рдореБрд╣рд╛рд╡рд░рд╛ рдХреНрдпрд╛ рд╣реИ ?
рдирд┐рдореНрдирд▓рд┐рдЦрд┐рдд рдЙрджреНрдзрд░рдг рдкрд░ рд╡рд┐рдЪрд╛рд░ рдХреАрдЬрд┐рдП:
тАЬ рдЖрдк рдЬрд┐рд╕ рддрд░рд╣ рдмреЛрд▓рддреЗ рд╣реИя┐╜...
рд╣рд┐рдиреНрджреА рдореЗрдВ рд╡реНрдпрдВрдЬрди рд╡рд░реНрдгреЛрдВ рдХреА рд╕рдВрдЦреНрдпрд╛ рд╣реИред
'рдЧреМрд░рд╡' рдХрд╛ рд╡рд┐рдкрд░реАрддрд╛рд░реНрдердХ рд╢рдмреНрдж рд╣реИ -
рдирд┐рдореНрди рдореЗрдВ рд╕реЗ рдХреМрди рд╕рддреНрдп рд╣реИ?
рднреВрдорд┐ рдХреЗ рдЕрдиреНрджрд░ рдХреА рдЬрд╛рдирдХрд╛рд░реА рд░рдЦрдиреЗрд╡рд╛рд▓реЗ рдХреЛ рдХрд╣рд╛ рдЬрд╛рддрд╛ рд╣реИ :┬а