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When 30% of a number is added to the number, the result is 143. Find the number described.

User Vojtech B
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2 Answers

2 votes
30%x + x = 143
.30x +x = 143
1.30x =143
divide each side by 1.30
x = 110

check
(30% x 110) + 110 = 143
33 + 110 = 143
143 = 143

hope this helps.
User Alessandro Caliaro
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5 votes

Answer:

Number = 110 .

Explanation:

Given : when 30% of a number is added to the number, the result is 143.

To find : Find the number described.

Solution : We have given 30% of a number is added to the number,

Let the number = x

According to question :

30% of a number x =
(30*x)/(100) =
(3*x)/(10).

Added to the number

x +
(3*x)/(10) =143 .

On taking common denominator


(10x+ 3*x)/(10) = 143 .


(13*x)/(10) = 143 .

On multiplying both sides by 10 .

13 x = 143 *10.

13 x = 1430.

On dividing both sides by 13 .

x= 110.

Therefore, Number = 110 .

User Khachatur
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7.3k points