If the product of the integers \(w, x, y,\) and \(z\) is \(770,\) and if \(1 < w < x < y < z,\) what is the value of

[M7MBA]

If the product of the integers \(w, x, y,\) and \(z\) is \(770,\) and if \(1 < w < x < y < z,\) what is the value of \(w + z?\)

A. 10
B. 13
C. 16
D. 18
E. 21

Answer: B

Source: GMAT Prep

[Brent@GMATPrepNow]

If the product of the integers \(w, x, y,\) and \(z\) is \(770,\) and if \(1 < w < x < y < z,\) what is the value of \(w + z?\)

A. 10
B. 13
C. 16
D. 18
E. 21

Answer: B

Source: GMAT Prep

This looks like a job for prime factorization!

770 = (2)(5)(7)(11)

If 1 < w < x < y < z, then we can see that w = 2, x = 5, y = 7 and z = 11

So, w + z = 2 + 11 = 13

Answer: B

Cheers,
Brent