Question
In a family, the mother is 3 years younger than the father
and three times as old as the daughter. If their combined age is 84 years, how many years later will the father be twice as old as the daughter?Solution
ATQ,
Let the present age of the daughter and the mother be 'x' years and '3x' years, respectively.
Then, present age of the father = (3x + 3) years
So, x + 3x + (3x + 3) = 84
Or, 7x + 3 = 84
So, x = (84 - 3) ÷ 7 = 11
Present ages of the daughter and father are 11 years and 36 years, respectively.
For some 'y',
(11 + y) × 2 = (36 + y)
Or, 22 + 2y = 36 + y
So, y = 14
14 years hence from now, the father will be twice as old as the daughter.
Which of the following numbers is divisible by 11?
Find the least 4-digit number which is when divided by 21, 28, and 36 leaves a remainder of 11 in each case.
When a number is divided by 8, the remainder is half of the divisor and the quotient is 3 more than twice the product of the divisor and remainder. Find...
The greatest number that will divide 398, 437 and 5425 leaving 7, 12 and 2 as remainders, respectively, is:
Find the least 4-digit number which is when divided by 16, 20, and 24 leaves a remainder of 9 in each case.
If 'x' is the smallest positive integer divisible by 9, 15, and 28, then determine the second smallest positive integer that is divisible by all three o...
If 65x is a three-digit number and it is divisible by 6, what can be the value of the digit x?
What will be the remainder when 742 is divided by 48?
What is the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11?
which of the following pairs of non-zeroes values of p and q make the 6-digit number 674pq0 divisible by both 3 and 11?
