IF 10 BE ADDED TO FOUR TIMES A CERTAIN NUMBER, THE RESULT IS 5 LESS THAN FIVE TIMES THE NUMBER. FIND THE NUMBER??
Answers
Answered by
2
Answer:
here's the ans
Step-by-step explanation:
let the no be x
means 10 added 4x times is 40x .
which is equal to 5x-5
we get :- 40x = 5x- 5 .
Answered by
28
Topic
Linear Equations
Given
If 10 is added to four times a certain number, the result is 5 less than five times the number.
To Find
The number.
Solution
Let number be 'x'.
It is given that 10 is added to four times the number.
4x + 10
Then
result is 5 less than five times the number
5x - 5
It means both equations are equal.
4x + 10 = 5x - 5
Subtract 'x' from both sides,
4x + 10 - 4x = 5x - 5 - 4x
10 = x - 5
Now,
Add 5 to both sides,
10 + 5 = x - 5 + 5
15 = x
Answer
So, the certain number which satisfies the given statements is 15.
Verification
Solving LHS,
4x + 10
4 × 15 + 10
60 + 10
70
Solving RHS,
5x - 5
5 × 15 - 5
75 - 5
70
LHS = RHS
Hence, verified.
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