If 1/3of number is 16 less than original number. Find number
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Answered by
4
Let the required number is a,
According to the question,
= > 1 / 3 of a is 16 less than a
= > 1 / 3 x a = a - 16
= > a / 3 = a - 16
= > a / 3 x 3 = 3 x ( a - 16 )
= > a = 3( a - 16 )
= > a = 3a - 48
= > a - a = 3a - a - 48
= > 0 = 2a - 48
= > 48 = 2a - 48 + 48
= > 48 = 2a
= > 48 / 2 = 2a / 2
= > 24 = a
Therefore the number required here is 24.
For verification :
1 / 3 of 24 = 1 / 3 x 24 = 8
24 - 16 = 8
Hence verified.
Therefore the number satisfying the given equation is 24.
Answered by
2
Let the original number be x .
▶Now, A/Q
→ 1/3 of a number is 16 less than the original number.
=> ⅓ × x = x - 16 .
=> x/3 = x - 16 .
=> x = 3( x - 16 ) .
=> x = 3x - 48 .
=> 3x - x = 48 .
=> 2x = 48 .
=> x = 48/2 .
•°• x = 24.
✔✔ Hence, it is solved ✅✅.
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