Advertisements
Advertisements
Question
The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3 : 2. Find their present ages.
Solution
Let the present age of B be x years.
Then, the present age of A = (x + 5) years
Five years ago, age of A = x + 5 – 5 = x years
And age of B = (x – 5) years
According to the question,
`x/(x - 5) = 3/2`
⇒ 2x = 3(x – 5)
⇒ 2x = 3x – 15
⇒ 3x – 2x = 15
∴ x = 15
Hence, the present age of B is 15 years and the present age of A is (15 + 5), i.e. 20 years.
APPEARS IN
RELATED QUESTIONS
Solve: `(8x - 3)/(3x) = 2`
Solve: `z/(z + 15) = 4/9`
Find a number whose double is 45 greater than its half.
The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator, the fraction is equal to \[\frac{2}{3}\]. What is the original fraction equal to?
Seeta Devi has Rs 9 in fifty-paise and twenty five-paise coins. She has twice as many twenty-five paise coins as she has fifty-paise coins. How many coins of each kind does she have?
I have Rs 1000 in ten and five rupee notes. If the number of ten rupee notes that I have is ten more than the number of five rupee notes, how many notes do I have in each denomination?
There are 180 multiple choice questions in a test. If a candidate gets 4 marks for every correct answer and for every unattempted or wrongly answered question one mark is deducted from the total score of correct answers. If a candidate scored 450 marks in the test, how many questions did he answer correctly?
The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.
The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is ______.
Solve the following:
`(3x - 8)/(2x) = 1`
