Question
Currently, the combined ages of
'P' and 'Q' add up to 78 years. The ratio of 'P's age 2 years ago to 'Q's age 2 years in the future is 5:8. One year from now, 'P's age will be 10% greater than 'R's age at that time. What is the ratio of 'Q's age 6 years ago to 'R's age 1 year ago?Solution
ATQ, 2 years ago, from now, let the age of 'P' = '5x' years 2 years hence from now, let the age of 'Q' = '8x' years So, sum of present ages of 'P' and 'Q' = 5x + 2 + 8x - 2 = '13x' years Or, 13x = 78 So, x = 78 ÷ 13 = 6 So, present age of 'P' = 5x + 2 = 32 years Present age of 'Q' = 78 - 32 = 46 years 1 year hence from now, age of 'P' = 32 + 1 = 33 years 1 year hence from now, age of 'R' = 33 ÷ 1.1 = 30 years So, present age of 'R' = 30 - 1 = 29 years So, required ratio = (46 - 6):(29 - 1) = 40:28 = 10:7
The LCM of two numbers is 1991 and their HCF is 23. If one of the numbers is 181, the other number is
The H.C.F. of two numbers is 14 and the other two factors of their L.C.M. are 5 and 11. The larger of the two numbers is:
Find the HCF (GCD) of 48 and 72.
If total number of factors of 2,430 is 'x', then find the value of (x - 6)(x + 1).
A man deposits Rs. 25,000 at a simple interest rate of 8% per year. What amount will he receive after 5 years?
Rohit spends an average of Rs. 500 on Sundays and Rs. 350 on the remaining days. Find his average spending in a 30-day month starting with Sunday.
What is the difference between the LCM and HCF of 38, 52?
The HCF and LCM of two natural numbers are 15 and 75, respectively. What is the difference between the two numbers, if one of the numbers is 25?
Find the LCM of 36, 45, 60, 80.
The smallest number which when divided by 22 and 34 leaves remainder 10 and 22 respectively is:
