Tuklasin kung paano ka matutulungan ng IDNStudy.com na makuha ang mga sagot na kailangan mo. Sumali sa aming interactive na platform ng tanong at sagot para sa mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

the average of 7 consecutive even numbers is 42. what is the smallest number?

Sagot :

let 'x' be the first number 
     'x+2' be the 2nd
    'x+4' be the 3rd
    'x+6' be the 4th
    'x+8' be the 5th
    'x+10' be the 6th
    'x+12' be the 7th
you'll have the equation as:
[tex] \frac{x+x+2+x+4+x+6+x+8+x+10+x+12}{7} =42[/tex]
[tex] \frac{7x+42}{7} = 42[/tex]
[tex]7x + 42 = 42(7)[/tex]
[tex]7x + 42 = 294[/tex]
[tex]7x = 252[/tex]
[tex]x = 36[/tex]
since you are looking for the smallest number and based on variable representation x is the smallest number
therefore the smallest number is 36