Question

5. M and N are decimals.
M- N= 0.9
M × N= 0.7
Which values are true for M and N?
A. M= 2.1, N = 1.2
B. M= 1.4, N= 0.5
C. M= 1.2, N= 0.3
D. M= 1.0, N = 0.7

Answer 1

To find the values of M and N that satisfy the equations \(M - N = 0.9\) and \(M \times N = 0.7\), we can analyze each of the options given:

1. **Option A: M = 2.1, N = 1.2**
- \(M - N = 2.1 - 1.2 = 0.9\) (True)
- \(M \times N = 2.1 \times 1.2 = 2.52\) (False)

2. **Option B: M = 1.4, N = 0.5**
- \(M - N = 1.4 - 0.5 = 0.9\) (True)
- \(M \times N = 1.4 \times 0.5 = 0.7\) (True)

3. **Option C: M = 1.2, N = 0.3**
- \(M - N = 1.2 - 0.3 = 0.9\) (True)
- \(M \times N = 1.2 \times 0.3 = 0.36\) (False)

4. **Option D: M = 1.0, N = 0.7**
- \(M - N = 1.0 - 0.7 = 0.3\) (False)
- \(M \times N = 1.0 \times 0.7 = 0.7\) (True)

From this analysis, the only option that satisfies both the conditions \(M - N = 0.9\) and \(M \times N = 0.7\) is:

**B. M = 1.4, N = 0.5**