The sum of two numbers in 60. One of the number is 4 less than the other find the number
Answers
Answer- The above question is from the chapter 'Linear Equation in One Variable'.
Linear Equation in One Variable: An equation containing one variable with degree one is called linear equation in one variable.
Examples:
1) 2x + 3 = 0
2) 4z - 5 = 1
3) 2k + 2 = 4
Question: The sum of two numbers in 60. One of the number is 4 less than the other, then find the other number.
Solution: Let one of the number be x.
So, the other number will be x - 4.
Sum of the two numbers = 60
According to the question, x + x - 4 = 60
2x - 4 = 60
Transposing 4 to R.H.S, we get,
2x = 60 + 4
2x = 64
x = 64 ÷ 2
x = 32
⇒ x - 4 = 32 - 4 = 28
∴ Required two numbers are 28 and 32.
QUESTION GIVEN :
The sum of two numbers in 60. One of the number is 4 less than the other find the number....
CONCEPT / CHAPTER :
Linear equations in One Variable.
SOLUTION :
Suppose that one of the numbers, the greater number is X
Hence the other number is X - 4
Their sum is 60 aa mentioned in the question earlier.
Hence We can write the following equation algebraically.
So,
X + X - 4 = 60
=> 2X = 64
=> X = 32
X - 4 = 28.
Hence the two required numbers are 32 and 28 respectively.
Answer :
Hence the two required numbers are 32 and 28 respectively.