Question

the sum of two consecutive integer is three times their difrence what is the largest number

Answer 1

Answer:

The sum of two consecutive integers is three times their difference. What is the larger number?The sum of two consecutive integers is three times their difference. What is the larger number?

Let the two consecutive integers be x and x+1

x+x+1=3(x+1-x)

2x+1=3x+3–3x

2x=3–1

2x=2

x=1

y=2

The two numbers are 1 and 2

Answer 2

Step-by-step explanation:

The sum of two consecutive integers is three times their difference. What is the larger number?

The larger number r={2}

PREMISES

r+s=3(r-s)

ASSUMPTIONS

Let r=s+1

Let s=s

CALCULATIONS

(s+1)+s=3[(s+1)-s]

2s+1=3[(s-s)+1]

2s+1=3(0+1)

2s+1=3(1)

2s+1=3

2s+(1–1)=3–1

2s+0=3–1

2s=2

2s/2=2/2

s=2/2

s=

{1}

And if s=1, then

r=s+1=

{2}

PROOF

If r, s={2,1}, then the equations

(1) r+s=3(r-s)

(2) 2+1=3(2–1)

(3) 2+1=3(1) and

(4) 3=3 prove the roots (zeroes) r, s={2,1} of the statement r+s=3(r-s)

C.H.