Math, asked by Vaishnavi0511, 1 year ago

the ages of Rahul and Rohit are in the ratio 5 :7 four years later the sum of their ages will be 56 years what are the present ages

Answers

Answered by Anonymous
13
Heya mate ⭐

let the age of Rahul and rohit be 5x and 7 x years .

then, four yrs later :-

=> (5x+4 )+ (7x+4) = 56
=>12x+8=56
=>12x=48
=>x=4.

hence the present age of Rahul is 5x=20 and that of Rohit is 7x=28
Answered by nikky28
10
hey !!!

____________

Let common ratio between Rahul’s age and Rohit’s age be x.

Therefore, age of Rahul and Rohit will be 5xyears and 7x years respectively. After 4 years, the age of Rahul and Rohit will be (5x + 4) years and (7x + 4) years respectively.

According to the given question, after 4 years, the sum of the ages of Rahul and Rohit is 56 years.

∴ (5x + 4 + 7x + 4) = 56

12x + 8 = 56

On transposing 8 to R.H.S, we obtain

12x = 56 − 8

12x = 48

On dividing both sides by 12, we obtain

 \frac{12x}{12}  =  \frac{48}{12}


x = 4

Rahul’s age = 5x years = (5 × 4) years = 20 years

Rohit’s age = 7x years = (7 × 4) years = 28 years

________________

Hope it helps u !!!!

Cheers :))

# Nikky

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