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 the number

Answer 1

Let the first part be x. Then the second part is 24 - x.
=> 7x + 5(24 - x) = 146
=> 7x + 120 - 5x = 146
=> 2x = 146 - 120
=> x = 26/2
=> x = 13

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Answer 2

Answer:

Step-by-step explanation:

Let first part be = x

Let the second part = y  

Thus, according to the question -  

= x+y = 24 (y = 24-x)

= 7x+5y = 146

= 7x+5(24-x) =146

= 7x+120-5x =146

= 2x = 146-120

= 2x = 26

= x = 13

Now, since y=24-x, thus

y = 24-13

y =11

Therefore, the value of x = 13 and y = 11