Question

Q. The respective ratio between the Present ages of Ram, Rohan and Raj is 3: 4: 5.if the average of their present ages is 28 years then what would be the sum of the ages of Ram and Rohan together after 5 years?; Option; 1) 45 years; 2) 55 years; 3) 52 years; 4) 59 years; 5) None of these

Answer 1

Answer:

5) None of these

Step-by-step explanation:

Let age of Ram be 3x, Rohan be 4x and Raj be 5x

Sum of their present ages = 28*3 = 84

Sum of their age ratios = 12x

Therefore, 12x = 84 => x = 84/12 => x=7

After 5 years,

Ram will be: 3(7) + 5 = 26

Rohan will be: 4(7) + 5 = 33

Raj will be: 5(7) + 5 = 40

Therefore sum of their ages = 26 + 33 = 59

Answer 2

Let the ratios be 3x 4x and 5x respectively

According to question :-

                                      $\frac{3x + 4x +5x}{3} = 28$ (years)

                                      $\frac{12x}{3} = 28$

                                      $12x = 28*3$

                                      $12x = 84$

                                      $x = \frac{84}{12}$

                                      $x = 7$

Ram's age = $3x = 3*7 = 21 years$

Rohan's age = $4x = 4*7 = 28 years$

Raj's age = $5x = 5*7 = 35 years$

Sum of ages of Ram and Rohan after 5 years are = $(21+5)+(28+5) = [tex]26+33$ = 59 years[/tex]

Therefore the answer is (D) - 59 years

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