4. When 8 is subtracted from five times a certain
number, the result is four more than four
times the number. Find the number.
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Given :-
- When 8 is subtracted from five times a certain number, the result is four more than four times the number.
To Find :-
- Required number
Solution :-
Let the required number be x
Now, it is given that when 8 is subtracted from 5 times a certain number then the result is four more than four times the number
→ 5x - 8 = 4x + 4
→ 5x - 4x = 4 + 8
→ x = 12
Hence,
- The required number is 12
Verification :-
- 5x - 8 = 4x + 4
Let LHS = 5x - 8
RHS = 4x + 4
Put the value of x = 12 in both LHS and RHS
- LHS = 5x - 8
→ 5 × 12 - 8
→ 60 - 8
→ 52
- RHS = 4x + 4
→ 4 × 12 + 4
→ 48 + 4
→ 52
- Hence, LHS = RHS verified
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