Question

divide 25 into two parts such that 7 times the first part added to 5 times the second part makes 139

Answer 1

Hi ,

This word problem related to linear

equations in one variable.

Given sum of two parts = 25

Let first part = x

second part should be = 25 - x

7 times the first part = 7x

5 times the second part = 5( x - 25 )

Given relation between to parts is

7 times the first part added to 5 times

the second part = 139

Now write the word problem into

Linear equation

7x + 5( 25 - x ) = 139

7x + 125 - 5x = 139

2x = 139 - 125

2x = 14

x = 14/ 2

x = 7

Therefore

First part = x = 7

Second part = 25 - x = 25 - 7 = 18

Hope this will helps you.

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Answer 2

LET
1st part = x
2nd part = (25-x)
7 -times-1st part = 7(x)
5-times-2nd part = 5(25-x)
7x + 5(25-x) = 139
7x + 125 - 5x = 139
2x = 139 - 125
2x = 14
x = 14/2
x = 7

Answer = 1st part = x = 7
2nd part = (25-x) = 25 - 7 = 18
Hope this will help you
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