# Solutions

Get detailed explanations to advanced GMAT questions.

### Question

If (2^x) (2^y) = 8 and (9^x)(3^y) = 81, then (x,y) equals:

Option A:

(1,2)

Option B:

(2,1)

Option C:

(1,1)

Option D:

(2,2)

Option E:

(1,3)

### Difficulty Level

Easy### Solution

Option A is the correct answer.

### Option Analysis

Given (2^x) (2^y) = 8,

2^(x+y) = 2^3

x+y = 3 (from Equation 1)

(9^x)(3^y) = 81,

3^(2x) * (3^y) = 3^4

3^(2x+y) = 3^4

So 2x+y = 4 (from Equation 2)

Solving, Equation 2 – Equation 1

We get, x = 1 and y =2

### Related Questions

- If each customer at the outdoor movie last night came in a car, what was the number of cars in which…

- During an experiment, the temperature of a liquid was measured several times. The temperatures, in degree…

- A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer…

- If two copying machines work simultaneously at their respective constant rates, how many copies do…

- Of the cans of peaches inspected yesterday at a certain plant, 1.5 percent failed to pass inspection. Of…