the ages of mohan and sohan are in the ratio 5:7.if mohan was 9 years older and sohan 9 years younger,then their ages would be in the ratio 2:1.find their present ages.
Answers
Answer:
The present age of Mohan = 15 years
The present age of Sohan = 15 years
Step-by-step explanation:
It is given that,
1) The ages of Mohan and Sohan are in the ratio 5:7
Their present age be 5x and 7x
2) f mohan was 9 years older and sohan 9 years younger,then their ages would be in the ratio 2:1
To find x
5x + 9 = 14x - 18
9x = 27
x = x
To find their present ages
Present age of Mohan = 5x = 15 years
Present age of Sohan = 7x = 21 years
Answer:
Mohan is 15 years old and Sohan is 21 years old.
Step-by-step explanation:
Ratio = 5 : 7
Define x:
Let x be the constant ratio
Ratio = 5x : 7x
Solve x:
(5x + 9) / (7x - 9) = 2/1
5x + 9 = 2(7x - 9)
5x + 9 = 14x - 18
9x = 27
x = 3
Find their present age:
Mohan = 5x = 5(3) = 15 years old
Sohan = 7x = 7(3) = 21 years old
Answer: Mohan is 15 years old and Sohan is 21 years old.