Which of the statement true ?
39 kg : 36 kg = 26 men : 24 men.

Answer

To determine if the statement "39 kg : 36 kg = 26 men : 24 men" is true, we need to simplify both ratios and compare them.

### Step-by-Step Solution:

**Step 1: Simplify the first ratio (39 kg : 36 kg)**
We can express the ratio as a fraction:
\[ \frac{39}{36} \]
Now, we simplify this fraction. Both numbers can be divided by their greatest common divisor (GCD), which is 3.
\[ \frac{39 \div 3}{36 \div 3} = \frac{13}{12} \]
So, the simplified form of the first ratio is \( \frac{13}{12} \).

**Step 2: Simplify the second ratio (26 men : 24 men)**
Similarly, we express this ratio as a fraction:
\[ \frac{26}{24} \]
Now, we simplify this fraction. The GCD of 26 and 24 is 2.
\[ \frac{26 \div 2}{24 \div 2} = \frac{13}{12} \]
So, the simplified form of the second ratio is also \( \frac{13}{12} \).

**Step 3: Compare the simplified ratios**
Now we have:
- First ratio: \( \frac{13}{12} \)
- Second ratio: \( \frac{13}{12} \)

Since both simplified ratios are equal, we can conclude that:
\[ 39 \text{ kg : } 36 \text{ kg} = 26 \text{ men : } 24 \text{ men} \]

### Conclusion:
Thus, the statement is true.

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