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Elsa, Bob, and Chris will not disclose their weights but agree to be weighed in pairs. Elsa and Bob together weigh 226 pounds.Bob and Chris together weigh 210 pounds. Elsa and Chris together weigh 200 pounds. How much does each student weigh.

Sagot :

Shinalcantaraidn
let 'x' be the weight of Elsa
    'y' be the weight of Bob
    'z' be the weight of Chris
x + y = 226 ---equation 1
y + z = 210 ---equation 2
x + z = 200 ---equation 3
rearranging equation 3 you'll have the value of x in terms of z
x + z = 200
x = 200 - z  ----equation 3'
substitute to equation 1
x + y = 226
(200 - z) + y = 226
y - z = 226 - 200
y - z = 26   ----equation 4
subtract equation 4 from equation 2
    y + z = 210
(-) y - z = 26
        2z = 184
         z = 92
substitute to equation 3'
x = 200 - z
x = 200 - 92
x = 108
substitute to equation 1
x + y = 226
y = 226 - x
y = 226 - 108
y = 118