# Category: Quadratic Equations Solved Questions Class 10

## At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present age of both Asha and Nisha.

At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10...

## At t minutes past 2 p.m., the time needed by the minutes hand of a clock to show 3 p.m. was found to be 3 minutes less than t^2/4 minutes. Find t.

At  minutes past 2 p.m., the time needed by the minutes hand of a clock to show 3 p.m. was found to be 3 minutes less than t^2/4  minutes. Find t.

## A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.

A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the...

## A and B have certain number of mangoes. A says to B “If you give me 30 of your mangoes, I will have twice as many as left with you.” B replies “If you give me 10, I will have thrice as many left with you.” How many mangoes does each have?

A and B have certain number of mangoes. A says to B “If you give me 30 of your mangoes, I will have twice as many as left with you.” B replies “If you...

## A takes 3 hours more than B to walk 30 km. But, if A doubles his pace, he is ahead of B by 3/2 hours. Find their speed of walking.

A takes 3 hours more than B to walk 30 km. But, if A doubles his pace, he is ahead of B by 3/2 hours. Find their speed of walking.

## A says to B, “I am five times old as you were, when I was as old as your are.” The sum of their ages is 64 years. Find their ages.

A says to B, “I am five times old as you were, when I was as old as your are.” The sum of their ages is 64 years. Find their ages.

## Ten years ago, the sum of the ages of two sons was one third of their father’s age. One son is two years older than the other and sum of their present ages is 14 years less than the father’s present age. Find the present ages of all.

Ten years ago, the sum of the ages of two sons was one third of their father’s age. One son is two years older than the other and sum of their present ages is...

## The age of a father is equal to the sum of the ages of his 5 children. After 15 years, the age of the children will be twice the age of father. Find the age of father.

The age of a father is equal to the sum of the ages of his 5 children. After 15 years, the age of the children will be twice the age of father. Find the...

## Father’s age is three times the sum of the ages of his two children. After 5 years, his age will be twice the sum of the ages of the two children. Find the age of the father.

Father’s age is three times the sum of the ages of his two children. After 5 years, his age will be twice the sum of the ages of the two children. Find the age...

## A number consists of three digits whose sum is 17. The middle one exceeds the sum of the other two by 1. If the digits be reversed, the number is diminished by 396. Find the number.

A number consists of three digits whose sum is 17. The middle one exceeds the sum of the other two by 1. If the digits be reversed, the number is diminished by 396. Find...

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