Four positive integers A, B, C and D have a sum of 36. If A + 2 = B – 2 = C × 2 = D ÷ 2, what is the value of the product A × B × C × D?

Guest May 22, 2020

#1**+2 **

hi guest!

so first we can express everything in terms of A.

**A=A**

A+2=B-2, **B=A+4**

A+2=2C, **C=A/2+1**

A+2=D/2, **D=2A+4**

So, we can now add this all up.

A+A+4+A/2+1+2A+4=36

4.5A+9=36

4.5A=27

**A=6**

Now, we can find the values of B, C, and D.

A=**6**

B=**10**

C=**4**

D=**16**

**\(6 \cdot 10 \cdot 4 \cdot 16= \boxed{3840}\)**

I hope this helped you!

:)

lokiisnotdead May 22, 2020

#1**+2 **

Best Answer

hi guest!

so first we can express everything in terms of A.

**A=A**

A+2=B-2, **B=A+4**

A+2=2C, **C=A/2+1**

A+2=D/2, **D=2A+4**

So, we can now add this all up.

A+A+4+A/2+1+2A+4=36

4.5A+9=36

4.5A=27

**A=6**

Now, we can find the values of B, C, and D.

A=**6**

B=**10**

C=**4**

D=**16**

**\(6 \cdot 10 \cdot 4 \cdot 16= \boxed{3840}\)**

I hope this helped you!

:)

lokiisnotdead May 22, 2020