The sum of a number and two times a smaller number is 62. three times the bigger number exceeds the smaller number by 116. the bigger number is the smaller number is

the bigger number is 42

the smaller number is 10

Step-by-step explanation:

use algebra to denote:

let x be the bigger number

let y be the smaller number

x+2y=62...(1)

3x-y=116...(2)

x=62-2y...(1a)

substitute

3(62-2y)-y=116

186-6y-y=116

-7y=116-186

-7y=-70

y=-70/-7

y=10

therefore x is:

x=62-2(10)

x=62-20

x=42

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step-by-step explanation:

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