The sum of two numbers is 69. The larger number is three less than twice the smaller number. Find the numbers.

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Mathematics

14 April, 11:10

The sum of two numbers is 69. The larger number is three less than twice the smaller number. Find the numbers.

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Answers (1)

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Kendra Daniel · Answer 1

x = 45, y = 24.

Step-by-step explanation:

If the 2 numbers are x and y:

x + y = 69 ... (1)

x = 2y - 3

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

Subtract: (1) - (2):

x - x + y - (-2y) = 69 - (-3)

y + 2y = 72

3y = 72

y = 24.

From equation 1:-

x + 24 = 69

x = 45.