Question

Three numbers are in the ratio 3:4:5 and their sum is 156. Find the smallest number.

Answer 1

Answer:

39

Step-by-step explanation:

Three no: are in the ratio 3:4:5

Let the actual ratio be 3k:4k:5k

Sum of the no: are 156

3k:4k:5k = 156

12k = 156

k = 13

so the no: are

3(k) = 3 × 13 = 39

4(k) = 4 × 13 = 52

5(k) = 5 × 13 = 65

So the smallest no; is 39

Answer 2

To find : smallest number .

Given : Three numbers are in the ratio $3 : 4: 5$ and their sum is $156$.

Solution :

• Let , given numbers in ratio be $3x$ ,$4x$ and $5x$ .
• According to question we write , given condition as $3x + 4x + 5x = 156$
• On solving we get value of $x$ ,

         $3x + 4x + 5x = 156$

                        $12x = 156 \\x = \frac{156}{12} \\x = 13$

• Now , finding numbers ,

             $3x = 3\times 13 = 39\\4x = 4 \times 13 = 52 \\5x = 5\times 13 = 65$

Hence , smallest number is $39$.