SOLVING WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS WORKSHEET

Problem 1 :

Find two consecutive positive even integers whose squares have the sum 340.

Solution

Problem 2 :

The sum of two squares of three consecutive natural numbers is 194. Determine the numbers.

Solution

Problem 3 :

The product of two successive multiples of 3 is 810. Find the multiples.

Solution

Problem 4 :

The sum of the squares of two natural numbers is 34 and sum of 5 times the smaller and 3 times the larger is 30. Find the numbers.

Solution

Problem 5 :

Two natural numbers differ by 2 and their product is 360. Find the numbers.

Solution

Problem 6 :

There are three consecutive positive integers such that the sum of the square of first and the product of the other two is 154. Find the integers.

Solution

Problem 7 :

Find two consecutive natural numbers whose product is 30.

Solution

Problem 8 :

The sum of two numbers is 60 and their product is 576. Find the numbers.

Solution

Problem 9 :

Two positive numbers differ by 4 and their product is 192. Find the numbers.

Solution

Problem 10 :

The sum of the number and its positive square root is 7/36. Find the number.

Solution

Problem 11 :

The sum of two numbers is 15 and the sum of its reciprocals is 3/10. Find the numbers.

Solution

Problem 12 :

The sum of two numbers is 60 and their product is 576. Find the numbers.

Solution

Problem 13 :

Two positive numbers differ by 4 and their product is 192. Find the numbers.

Solution

Problem 14 :

A two digit number is four times the sum of its digits and twice the product of the digits. Find the number.

Solution

Problem 15 :

A two digit number such that the product of its digits is 21. When 36 is subtracted from the number the digits are interchanged. Find the number.

Solution

Problem 16 :

A two digit number is such that the product of its digits is 12. When 36 is added to this number the digits are interchanged. Find the numbers.

Solution

Problem 17 :

The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Find the fraction. 

Solution

Problem 18 :

The denominator of the fraction is 5 more than its numerator. The sum of the fraction and its reciprocal is 73/24. Find the fraction.

Solution

Problem 19 :

The denominator of the fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 58/21, find the fraction.

Solution

Problem 20 :

If the numerator of a fraction is increased by 2 and the denominator by 1, it becomes 1. In case, the numerator is decreased by 4 and the denominator by 2, it becomes 1/2. Find the fraction. 

Solution

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WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and Venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6