the ages of A and B are in ratio 5:7. Four years later, the sum of their ages will be 56 years. what are their present age?
Answers
5x+4+7x+4=56
12x=48
x=4
20
28 ans
...........
because if A= Tom cruise=2year
....B= Justin Bieber=3 year
5 ans
four year later...both ages will increase
tom= 2+4=6
Bieber= 3+4=7
....13 ans
Step-by-step explanation:
Let common ratio between Rahul’s age and Haroon’s age be x.
Therefore, age of Rahul and Haroon will be 5x years and 7x years respectively. After 4 years, the age of Rahul and Haroon 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 Haroon 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
12x/12 = 48/12
x = 4
Rahul’s age = 5x years = (5 × 4) years = 20 years Haroon’s age = 7x years = (7 × 4) years = 28 years
2nd example
The ages of Rahul and Haroon are in the ratio 5:7
Let Rahul’s present age=5x
Haroon present age=7x
Four years later the sum of their ages will be 56 years. So according to the condition,
(5x+4)+(7x+4)=56
12x+8=56
12x=56–8
12x=48
x=48/12
x=4
Therefore Rahul’s present age =5*4=20years
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