Question

if 4 is added to a number and the sum is multiplied by 5 if 20 is subtracted from the product and the difference is divided by 8 the result is equal to 10 then the number is

Answer 1

Answer:

16

Step-by-step explanation:

20 - 5(4 + x)/8 = 10

20 - 20 + 5x  = 10* 8 = 80

5x = 80

x = 16

Answer 2

Find the number satisfying the given conditions.

Explanation:

• Let the given number be denoted by 'n'
• Then the first condition is that four is added to this number, $n+4$
• Next condition is that this sum is multiplied by five, $5(n+4)$
• Now its said that twenty is subtracted from the product, $5(n+4)-20$
• Then its given that the subtracted value is divided by eight, $\frac{5(n+4)-20}{8}$  
• Then its given that the final value is equal to ten, $\frac{5(n+4)-20}{8}=10$  
• Evaluating the final expression for 'n' we get,  
•    $\frac{5(n+4)-20}{8} =10\\->5(n-4)-20=80\\->n-4=20\\->n=24$    
• The number is $24$.