when 30% of a number is added to the number, the result is 143. Find the number described.
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.
Answer:
Number = 110 .
Step-by-step 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 = \(\frac{30*x}{100}\) = \(\frac{3*x}{10}\).
Added to the number
x + \(\frac{3*x}{10}\) =143 .
On taking common denominator
\(\frac{10x+ 3*x}{10}\) = 143 .
\(\frac{13*x}{10}\) = 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 .