The ratio of ages of two persons is 5 : 9 and the age of one of them is greater than the other by 40 years. The sum of their ages in year is?
Question
The ratio of ages of two persons is 5 : 9 and the age of one of them is greater than the other by 40 years. The sum of their ages in year is?
Solution
Let's solve this step by step:
Step 1: Let's assume the ages of the two persons are 5x and 9x.
Step 2: According to the problem, the age of one of them is greater than the other by 40 years. So, we can write the equation as 9x - 5x = 40.
Step 3: Solving this equation, we get 4x = 40. Therefore, x = 10.
Step 4: Now, we can find the ages of the two persons. The age of the first person is 5x = 510 = 50 years and the age of the second person is 9x = 910 = 90 years.
Step 5: The sum of their ages is 50 years + 90 years = 140 years.
So, the sum of their ages is 140 years.
Similar Questions
The ratio of ages of two persons is 5 : 9 and the age of one of them is greater than the other by 40 years. The sum of their ages in year is?Options160150180140
A father is 4 times as old as his son.8 years hence, the ratio of father’s age to the son’s age will be 20:7.What is the sum of their present ages?50726865
If the ratio of the ages of two persons is 3:5 and their ages differ by 18 years, what is the age of the younger person?a) 12 yearsb) 15 yearsc) 18 yearsd) 21 years
The ratio of a father’s age to his son’s age is 4 : 1. The product of their ages is 196. What will be the ratio of their ages after 5 years?
The ratio of the ages of A,B and C is 7:5:4. If C’s age is 32 years, the sum of the age of A, B and Ca.128b. 120c.56d.49
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.