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✒️NUMBERS

• The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers.

» Let x and y be the larger and the smaller number respectively. Create two equations by the given statements.

» Find x in the first equation then substitute it to the second equation in terms of y.

» Thus, the smaller number is 19. Find the larger by substituting y to the first equation.

The larger number is 71 and the smaller number is 19.

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Answer:

71 and 19

Explanation:

71 + 19 = 90

90 = 90

71 = 3(19) + 14

71 = 57 + 14

71 = 71