Suhana said multiplying my number by 5 and adding 8to it gives the sam...
Suhana's number is 2
Step-by-step explanation:
Let the Number be x
According to the question
Multiplying x by 5 and adding 8 to it is same as subtracting x from 20
Therefore,
5x + 8 = 20 - x
or, 5x + x = 20 - 8
or, 6x = 12
or, x = 12/6
or, x = 2
Therefore the number of Suhana is 2.
This question is part of UPSC exam. View all Class 7 courses
Suhana said multiplying my number by 5 and adding 8to it gives the sam...
Introduction:
In this problem, Suhana has a number and she wants to find that number by using two different operations. The first operation is multiplying the number by 5 and then adding 8 to it. The second operation is subtracting the number from 20. We need to find Suhana's number by solving the equation that represents these two operations.
Step 1: Assigning variables:
Let's assume Suhana's number as 'x'. We can represent the first operation as (5x + 8) and the second operation as (20 - x). We need to find the value of 'x' by equating these two expressions.
Step 2: Setting up the equation:
To find the value of 'x', we set up the equation (5x + 8) = (20 - x).
Step 3: Solving the equation:
To solve the equation, we can simplify it by combining like terms.
5x + 8 = 20 - x
Adding 'x' to both sides:
5x + x + 8 = 20
Combining like terms:
6x + 8 = 20
Subtracting 8 from both sides:
6x = 12
Dividing both sides by 6:
x = 2
Step 4: Finding Suhana's number:
From the equation, we have found that Suhana's number is '2'.
Therefore, Suhana's number is 2.
Explanation:
To explain the solution in detail, we first assigned a variable 'x' to represent Suhana's number. Then, we set up the equation by representing the given operations as expressions. By equating these two expressions, we formed the equation. To solve the equation, we simplified it by combining like terms. Finally, we found that Suhana's number is 2 by solving the equation.
Conclusion:
Suhana's number is 2.
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