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13. Find three number such that the second number is three more than twice
the first number and the third number is four times the first number
The sum of three numbens is 164.​


Sagot :

Answer:

Find three numbers such that the second number is 3 more than twice the first number,and the third number is four times the first number. The sum of the three numbers is 164.

1st:: x

2nd:: 2x+3

3rd:: 4x

-------------

Equation:

x + 2x+3 + 4x = 164

7x = 161

----

x = 23 (1st)

2x+3 = 49 (2nd)

4x = 92 (3rd)

----------------

Make first number = 'x'

Second number = 3 + 2x

Third number = 4x

Total = 164

So,

x + (3 + 2x) + 4x = 164

x + 3 + 2x + 4x = 164

Collect like terms:

x + 2x + 4x = 164 - 3

7x = 161

x = 23

First number = 23

Second number = 49

Third number = 92