#291 - Smallest Number Problem

There is a number which when you multiply by 3 and subtract 2 from the result, then the resulting number is the reverse of the actual number.

What is the smallest number that stands true on the statement?

The number is 28.

28 * 3 - 2 = 82.

#292 - Distance Math Problem

There is a straight highway. Four different villages lie on that highway. The distance between them is different. The third village is 60km away from the first village; the fourth is 40 km away from the second; the third is 10 km near to the fourth that it is to the second.

Can you calculate the distance between the fourth and the first village ?

75

First Village = A
Second Village = B
Third Village = C
Fourth Village = D

Distance between B and D = 40km
=> Distance between B and C + Distance between C and D = 40km
=> Distance between B and C + (Distance between B and C - 10) = 40 km
=> 2 * Distance between B and C = 50km
=> Distance between B and C = 25km

Therefore distance between C and D = 15km

Thus, distance between A and D = 60 + 15 = 75km

#293 - Simple Maths Age Problem

Peter"s adolescence lasted for 1/6 of his life. He grew facial hair after 1/12 more. He married Susanne after 1/7 more of his life. She gave birth to a beautiful daughter after 5 years. The daughter lived 1/2 of what Peter lived. Peter died four years after his daughter.

Can you find out how long did Peter live?

84

Suppose that Peter lived for x years.

According to the question:
x/6 + x/12 + x/7 + 5 + x/2 + 4 = x
=> x = 84.

Thus, Peter lived for 84 years.

#294 - Letter To Number Puzzle

In the figure that has been attached with this question, each digit represents a digit. The similar letters carry the same integer value.Can you expose the original digits?

Letter To Number Puzzle

See the picture for the answer. T = 1W = 3O = 8H = 9R = 0E = 4

#295 - Math Age Problem

Can you find the ages of a son, father and grandfather based on the following facts?
The sum of the ages of grandfather, father and son is 140 years.
The age of son in months is the same as grandfather in years.
The age of the son in days is the same as father in weeks.

The grand father is 84 years old.
The father is 49 years old.
The son is 7 years old.

#296 - Count Cartons Maths Problem

Adam can fit six large chocolate boxes or nine small chocolate boxes into a carton. How many cartons will he require to put sixty-six chocolate boxes into ?

9

Five cartons for large chocolate boxes = 5 * 6 = 30 chocolate boxes.
Four cartons for small chocolate boxes = 4 * 9 = 36 chocolate boxes.
Thus total number of cartons required = 5 + 4 = 9.

#297 - How Many Toffees Maths Problem

Roy needs to purchase 100 toffees from three different shops and he has exactly 100 rupees to do that which he must spend entirely. He must buy at least 1 toffee from each shop.

The first shop is selling each toffee at 5 paise, the second is selling at 1 rupee and the third is selling at 5 rupees.

How many toffees should he buy from each shop?

Roy should buy 80 toffees from the first shop, 1 toffee from the second shop and 19 toffees from the third shop

#298 - How Many Animals Maths Puzzle

A cricket has 6 legs, a squirrel has 4 legs and a spider has 8 legs.

In a local zoo, it was found that the total number of legs is 612. Also, there are equal number of each of the above animals/insects.

Can you find out how many animals are there in the zoo?

There are a total of 102 animals and 34 of each kind.

Since we know that the number of each animal is equal. Therefore, each cricket, squirrel and spider will be having 18 legs.

Now, 612/18 = 34 of each animal.

Therefore, number of animals in total = 34 * 3 = 102.

#299 - Buy Maths Chocolate Puzzle

A kid goes to a confectionery and buys three kinds of chocolates. The first one is priced at 5 rupees, second one at 3 rupees and third one at 0.5 rupees.

If he bought 100 chocolates in total, how many pieces do you think he bought of each chocolate?

Let us denote the chocolates with a, b and c.
We can frame the following two equations now
a + b + c = 100 ------ (1)
5a + 3b + 0.5c = 100
or 10a + 6b + c = 200 ---- (2)

Now, 2*[(Eq. 2) - (Eq.1)]
9a + 5b = 100
from this equation"a" should be a multiple of 5
for a = 5 ; b = 11
for a = 10 ; b = 2
for a = 15 or more b becomes -ve

Therefore, the two possible answers are
a = 5, b = 11, c = 84
a = 10, b = 2, c = 88

#300 - Mother Age Maths Puzzle

Ramon is 45 years old and his mother Athena is 73 years old.

Can you find out how many years ago, his mother was three times his age?

When Ramon was 14.

Thus, the answer is 31 years ago. Ramon was 14 and Athena was 42.