Maths

If a man's age is four times the sum of the ages of his three children and after 6 years his age will be twice the sum of the ages of his three children, then what is the man's present age?

Three years ago, the age of a person was six times the age of his younger brother. Eight years later, the age of the person will be three years less than twice the age of his younger brother. Find the present ages of the person and his younger brother.

In a family, the combined age of husband, wife and a son is 90 years. The husband is the oldest. The difference in the ages of the husband and wife is \( \frac{1}{3} \) rd the age of their son. After 10 years, the age of the son would be half the age of his father. What is the present age of his mother (in years)?

Amit's father is aged five times more than Amit. After 6 years, he would be three and a half times of Amit's age. After further 9 years, how many times of Amit's age would he be?

The ratio of red to green sweets in a bag is \( 3: 4 \). How many red sweets are there in the bag if the number of green sweets is 120 ?

What should be added to each term of the ratio 5 : 11 so that the ratio becomes \( 3: 5 \) ?

Two numbers are, respectively, \(30\%\) and \(40\%\) more than the third number. The ratio of the second number to the first number is:

If \(a:b=c:d=e:f=5:7\), then what is the ratio \((3a+5c+11e):(3b+5d+11f)\)?

Which of the following ratios is greater?

The salaries of \(P\) and \(Q\) together amount to Rs. \(9,60,000\). \(P\) and \(Q\) save \(64\%\) and \(44\%\), respectively, of their individual salaries. If \(P\)'s expenditure is 1.5 times \(Q\)'s expenditure, then what is the ratio of \(P\)'s salary to \(Q\)'s salary?

The monthly incomes of A, B and C are in the ratio 2:9:3 and their expenses are in the ratio 3:9:5. If A's saving is half of his total income, then savings of A, B and C are, respectively, in the ratio of:

The mean proportional of \( 4 a^{2} \) and \( x \) is \( \frac{1}{5 a} \), where \( a \) is a positive number, then the value of \( x \) is ____.

Raj divides Rs. 1,200 in the ratio \( 2: 1: 3 \) among three of his friends. The amount equal to the sum of three times the largest share and two times the smallest share is:

Find the mean proportion to 0.72 and 2.85 (round up to one decimal place).

The income of \(P, Q\) and \(R\) are in the ratio \(10:12:9\) and their expenditures are in the ratio \(12:15:8\). If Q saves \(25\%\) of his income, then what is the ratio of the savings of \(P, Q\) and \(R\)?

The total income of three families is Rs. 72,000. Their expenditures are \(80\%\), \(85\%\) and \(75\%\), respectively. If the savings are in the ratio \(8:9:20\), then the income of the second family is:

The mean proportion of 0.14 and 2.24 is:

2 biscuits and 1 chocolate cost Rs. 69. 2 chocolates and 3 cups of coffee cost Rs. 127. 3 biscuits, 4 chocolates and 2 cups of coffee cost Rs. 229. Find the total cost (in Rs.) of 5 biscuits, 5 chocolates and 5 cups of coffee.

The mean proportional of \(8 a^{2}\) and \(\frac{18}{a^{4}}\), where \(a\) is a positive number, is ____.

Find the mean proportional between 25 and 81.

Find the fourth proportion to \( 1.25,5.75 \) and 3.5.

Find the mean proportional of 12.96 and 0.16.