a natural number is less than the sum of its opposite and 8. find all such numbers
Answers
Answer:
smaller number?
7
Instead she divided the number by
1
8
7
and got the result 15
What is the sum of two consecutive even numbers, the difference of whose squares is 847
8
one number is more than another and its square is 77 more than the square of the smaller number.
What are the numbers?
6. The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the
denominator is increased by 1, then the fraction becomes Find the fraction.
7. The digits of a two-digit number are in the ratio 2: 3 and the number obtained by interchanging the digits
is greater than the original number by 27. What is the original number?
8. The sum of the digits of a two-digit number is 10. The number formed by reversing the digits is 18 less
than the original number. Find the original number.
2. Aman ate 100 grapes in 5 days. Each day he ate 6 more grapes than those he ate on the previous day.
How many grapes did he eat the first day?
1o. In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every incorrect
answer. If he attempts all 75 questions and secures 125 marks, what are the number of questions he
attempted correctly?
11. Arun's age is four years more than Prashant's age. 4 years ago, the ratio of their ages was 5:4. Find
their present ages.
2. A father is three times as old as his son. 15 years hence, he will be twice as old as his son. What is the
sum of their present ages?
3. 4 years ago, the ratio of the ages of A and B was 2:3 and after 4 years it becomes 5:7. Find their
present ages.
4. Length of a rectangular blackboard is 8m more than its breadth. If its length is increased by 7 m and its
breadth is decreased by 4 m, its area remains unchanged. What is the length of the blackboard?
5. Two cars A and B leave Mumbai at the same time, travelling in opposite directions. If the average speed
of car A is 8 km/h more than that of B, and they are 300 km apart at the end of 6 hours, what is the
average speed of car A?
6. A boat takes 9 hours to travel a distance upstream and takes 3 hours to travel the same distance
downstream. If the speed of the boat in still water is 4 km/hr, what is the speed of the stream?
7. Kartik buys some apples at the rate of 10 per apple. He also buys an equal number of oranges at the
rate of 6 per orange. He makes a 15% profit on apples and 8% profit on oranges. The total profit earned
by Kartik at the end of the day is 396. When all fruits are sold out, find the number of apples purchased.
1
2
1
of the remaining on food and of the remaining
5
8. Bittu spends
of the money with him on books,
4
3
on travel. Now, he is left with 450. How much money did he have in the beginning?
1. The sum of three consecutive odd natural numbers is 87. What are the three numbers?
The sum of two numbers is 80. If the larger number exceeds four times the smaller by 5, what is the
3. A girl was asked to multiply a number by
more than the correct result. What is the number?
Answer:
ʜᴇʀᴇ ɪs ʏᴏᴜʀ ᴀɴsᴡᴇʀ ⬇️
Step-by-step explanation:
ᴛʜᴇ sᴜᴍ ᴏғ ᴀɴʏ ɪɴᴛᴇɢᴇʀ ᴀɴᴅ ɪᴛs ᴏᴘᴘᴏsɪᴛᴇ ɪs ᴇǫᴜᴀʟ ᴛᴏ ᴢᴇʀᴏ. sᴜᴍᴍᴀʀʏ: ᴀᴅᴅɪɴɢ ᴛᴡᴏ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀs ᴀʟᴡᴀʏs ʏɪᴇʟᴅs ᴀ ᴘᴏsɪᴛɪᴠᴇ sᴜᴍ.
ᴀᴅᴅɪɴɢ ᴛᴡᴏ ɴᴇɢᴀᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀs ᴀʟᴡᴀʏs ʏɪᴇʟᴅs ᴀ ɴᴇɢᴀᴛɪᴠᴇ sᴜᴍ. ᴛᴏ ғɪɴᴅ ᴛʜᴇ sᴜᴍ ᴏғ ᴀ ᴘᴏsɪᴛɪᴠᴇ ᴀɴᴅ ᴀ ɴᴇɢᴀᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ, ᴛᴀᴋᴇ ᴛʜᴇ ᴀʙsᴏʟᴜᴛᴇ ᴠᴀʟᴜᴇ ᴏғ ᴇᴀᴄʜ ɪɴᴛᴇɢᴇʀ ᴀɴᴅ ᴛʜᴇɴ sᴜʙᴛʀᴀᴄᴛ ᴛʜᴇsᴇ ᴠᴀʟᴜᴇs.