Question 422324
"one number is 21 less than twice the other number. the sum of these two numbers is 54. find both numbers?"


x = one number
2x - 21 = other number {one number is 21 less than other number}


x + 2x - 21 = 54 {sum of the two numbers is 54}
3x - 21 = 54 {combined like terms}
3x = 75 {added 21 to both sides}
x = 25 {divided both sides by 3}
2x - 21 = 29 {substituted 25, in for x, into 2x - 21}


the two numbers are 25 and 29
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