Word Problems in Multiplication and Division

Q.

One of the two digits of a two digit number is three times the other digit . If you interchange the digits of this two digit number and add the resulting number to the original number you get $88$.What is the original number ?

Q.

A number consists of two digits whose sum is 8.If 18 is added to the number its digits are reversed . Find the number??

Q.

The sum of the reciprocals of Rehman’s ages, (in years) $3$ years ago and $5$ years from now is $\frac{1}{3}$. Find his present age.

Q.

A piggy bank has only rupees 1 and 50 Paise coins. If there are 3 times as many 50 Paise coins as rupees 1 and the total amount is rupees 35. How many coins of each kind are there

Q. The tens digit in a two digit number is twice the units digit.If 18 is subtracted from the number, the digits are reversed.find the number.

Q.

The altitude of a triangle is five-thirds the length of its corresponding base. If the altitude is increased by 4 cm and the base decreased by 2 cm, the area of the triangle would remain the same. Find the base and altitude of the triangle.

Q.

The sum of the digits of a two-digit number is 7. If the number formed by reversing the digits is less than the original number by 27, the original number is ___ .

1. 43

2. 61

3. 52

4. 25

Q.

The digits of tens place of a two digit number is three times that in the units place. If the digits are reversed, the new number will be $36$ less than the original number. find the original number

Q. A dealer gets 940 rupees more if instead of selling a table at a loss of 10% it is sold at a gain of 10% find the cost price of the table

Q.

In an examination 1/3 of the total students used unfair means and out of which 1/4 caught red handed while cheating. If 5 students caught red handed then find the total number of students appeared in the exam.

Q.

In a two-digit number, the digit at the units place is thrice the digit in the tens place.The number exceeds the sum of its digits by 27. Find the number.

(Answer:39)

Q.

The sum of the digits of a two digit no number is 7 the number obtained by interchanging the digits exceed the original number by 27 find the number

Q. If the sum of two numbers is 10 and one number is 2 more than the other number, the numbers are .

1. 3 and 7
2. 4 and 6
3. 5 and 3

Q.

The altitude of a triangle is two third the length of its corresponding base.If the altitude is increased by 4 cm and base is decreased by 2 cm, the area of triangle remains the same.Find the base and the altitude of the triangle

Q.

The digit at the tens place of a two digit number is three times the digit at the units’ place. If the sum of this number and the number formed by reversing its digits is 88, find the number.

Q. 5.A number when divided by 342 gives a remainder 47. When the same number is divided by 19, what would be the remainder?

Q. The digit at the tens place of a two-digit number is three times the digit at the ones place. If the sum of this number and the number found by reversing the digit is 88. Find the number.

Q. The denominator of a fraction is greater than the numerator by 8. When the numerator is increased by 17 and the denominator is decreased by 1, the fraction obtained is $\frac{3}{2}$. What was the original fraction?

1. $\frac{11}{19}$
2. $\frac{13}{21}$
3. $\frac{10}{18}$
4. $\frac{9}{17}$

Q.

A piece of folk math: a child asked a flock of birds, "how many are you?"

A bird replied.

"We and us again, with half of us and half of that with one more, would make hundred"

How many birds were there?

Solve using equation

Q. A soap manufacturer is capable of selling soaps at Rs 6.36 per piece after adding the VAT at the rate of 6%. Still, he will make a profit of 20% on the sale. What is his manufacturing cost per soap ?

Q.

I have a total of Rs 300 in coins of denomination Re 1, Rs 2 and Rs 5. The number of Rs 2 coins is 3 times the number of Rs 5 coins. The total number of coins is 160. How many coins of each denomination are with me?

Q.

Leela sold her gold necklace at a profit of 7% if she had sold it for rupees 294 more, she would have got 10% profit find the cost price .

Q.

The number of boys in a school is twice as number of girls. If number of boys are $500$ then find number of girls.

Q.

The budget for a birthday party was ₹50, 000. Out of this, ₹17, 500 was spent on refreshments, ₹25, 750 was given to the event management company and ₹4580 was given as tips to various workers. The balance was given for charity. Find the amount given for charity.

Q. A number divided by 21 gives 756. What is the number?

1. 16875
2. 15876
3. 17678
4. 18756

Q. Rita had Rs 300. She spent $\frac{1}{3}$ of her money on notebooks and $\frac{1}{4}$ of the remainder on stationery items. How much money is left with her?

Q.

If a scooterist drives at the rate of 25 km per hour, he reaches his destination 7 minutes late, and if he drives at the rate of 30 km per hour, he reaches his destination 5 minutes earlier. How far is his destination?

Q. Solve the following equation and check your result:
$x=\frac{4}{5}(x+10)$

Q.

Ram has ₹27 in the form of fifty paise and twenty five paise coins. He has twice as many twenty five paise coins as he has fifty paise coins. What is the total number of coins of each kinds?

Q. The sum of the digits of two digit number is 9 the number is 6 times the unit digit find the number