Question

Twenty four is divided into two parts such that 7 times the first part added to 5 times the second part makes 146.find each part.​

Answer 1

Let x = 1 part which makes up 24

Then,

(24-x) = 2nd part which makes up 24

Write an equation for the statement:

" 7 times the first part added to 5 times the second part makes 146."

7x + 5(24-x) = 146

7x + 120 - 5x = 146

7x - 5x = 146 - 120

:

2x = 26

x = 26/2

x = 13, one part of 24

then

24 - 13 = 11; the other part of 24

Check solution in the statement:

"7 times the first part added to 5 times the second part makes 146."

7(13) + 5(11) = 146

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