Question

Three numbers are in the ratio 3:5:9. Their sum is 646. What is the smallest number?

Answer 1

Step-by-step explanation:

so we will sum all the ratios in this question which is 3 + 5 + 9 = 17

value for one of the seventeen units is 646 ÷ 17 = 38

38 x 3 is the smallest unit = 114

Answer 2

Answer:

Given :-

• Three numbers are in the ratio of 3 : 5 : 9.
• Their sum is 646.

To Find :-

• What is the smallest number.

Solution :-

Let,

$\mapsto \bf First\: Number =\: 3x$

$\mapsto \bf Second\: Number =\: 5x$

$\mapsto \bf Third\: Number =\: 9x$

According to the question :

$\bigstar$ Their sum is 646.

So,

$\implies \sf 3x + 5x + 9x =\: 646$

$\implies \sf 8x + 9x =\: 646$

$\implies \sf 17x =\: 646$

$\implies \sf x =\: \dfrac{646}{17}$

$\implies \sf\bold{\purple{x =\: 38}}$

Hence, the required numbers are :

☆ First Number :

➳ First Number = 3x

➳ First Number = 3 × 38

➳ First Number = 114

☆ Second Number :

➳ Second Number = 5x

➳ Second Number = 5 × 38

➳ Second Number = 190

☆ Third Number :

➳ Third Number = 9x

➳ Third Number = 9 × 38

➳ Third Number = 342

$\therefore$ The smallest number is 114 .