NCERT Class 8 Mathematics Solutions: Chapter 2 –Linear Equations in One Variable Exercise 2.4 Part 1
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Linear Equation According to Following Step
Question: 1 Amina thinks of a number and subtracts from it. She multiples the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?
Answer:
Let Amina think a Number.
According to the question,
Hence, the number is 4.
Question: 2 A positive numbers is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?
Answer:
Let positive number
Another number will be
Another number
Question: 3 Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
Answer:
Let the digit at tens place be x then digit at one place will be
Original number =
After interchanging the digits, the new number
Original number
Thus, the number is .
Question: 4 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?
Answer:
Let the digit at tens place be.
Then digit at ones place will be.
Original two digit number =
After interchanging the digits, the new number =
According to the question,
Original number + New number = 88
Hence, Original number