Question

Seperate 82 in two parts so that one of the parts is 3 times bigger than the other part

Answer 1

one part = 20.5

the other part = 61.5

Explanation:

let one part = x

let another part = y

(1) create two equations

i) 82 is separated into 2 parts, x and y. it means x plus y equals to 82

x+y = 82

ii) one part is bigger than the other. if x is the bigger part, it is 3 times bigger than y

x = 3y

(2) use substitution method to find the value of x and y

x+y = 82 -------- (1)

x = 3y ---------- (2)

substitute (2) into (1)

x+y = 82

3y+y = 82

4y = 82

y = 82/4

y = 20.5

substitute y = 20.5 into (2)

x = 3y

x = 3(20.5)

x = 61.5