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

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

13 and 11

STEP BY STEP EXPLAINATION

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

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