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The sum of two numbers is 15. Twice the large number plus 4 times the smaller number is 24. Find the large number.

Solution

The sum of two numbers is 15. Twice the large number plus 4 times the smaller number is 24. Find the large number.

Solution

The number : 18

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 15

2 y + 4 x = 24

x + y = 15, 2 y + 4 x = 24 : x = - 3, y = 18

The number : 18

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