# The sum of 3 numbers is 100. The second number is 2 more than three times the 1st number and the 3rd no is the sum of the first two numbers what are the numbers

2
by louigie323

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by louigie323

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the second number is = 2+3a

the third is = a+b

I just used the Trial and Error strategy.

I started with 10, then 11 and so on until I found the answer.

y=2nd number

z=3rd number

equations: x + y + z = 100 -----> eq.1

y = 2 + 3x -------> eq.2

z = x + y ---------> eq.3

substitute eq. 2 to eq.3 : z= x + 2 + 3x

z= 2 + 4x -----> eq.4

substitute eq. 2 and eq. 4 to eq.1 : x + 2 + 3x + 2 + 4x= 100

8x + 4= 100

x = 12

substitute the value of x to eq. 2: y= 2 + 3(12)

y= 38

substitute the value of x and y to eq. 3: z = 12 + 38

z = 50

the numbers are 12, 38 and 50.