Question

Three number are in the ratio 2:3:5 and the sum of these numbers is 800 .find the number​

Answer 1

${ \large{ \sf{ \underbrace{\underline{\bigstar \: Answer}}}}}$

$\mapsto\bf{Given}$

$\small{three\: numbers\: are\: in\: the\: ratio\: 2: \:3:\:5 \:and\: sum\: of \:them \:is \:800}$

Therefore sum of the terms of the ratio

$\underline{\bf{= 2 + 3 + 5 = 10}}$

$\boxed{\bf{First\: number}}$

$\sf\color{aqua}{ = (2/10) × 800}$

$\sf\color{aqua}{= 2 × 80}$

$\sf\color{aqua}{= 160}$

$\boxed{\bf{Second\: number }}$

$\sf\color{orange}{= (3/10) × 800}$

$\sf\color{orange}{= 3 × 80}$

$\sf\color{orange}{ = 240}$

$\boxed{\bf{Third\: number }}$

$\sf\color{green}{= (5/10) × 800}$

$\sf\color{green}{ = 5 × 80}$

$\sf\color{green}{ = 400}$

$\tt\color{red}{The\: three\: numbers \:are\: 160,\: 240\: and \:400}$

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Answer 2

Solution!!

The ratio of 3 numbers and the sum of the numbers is given in the question. We have to find the numbers.

Ratio = 2 : 3 : 5

Sum of the numbers = 800

Let the numbers be 2x, 3x and 5x.

Now the sum of these numbers is 800.

2x + 3x + 5x = 800

10x = 800

x = 800 ÷ 10

x = 80

2x = 2 × 80 = 160

3x = 3 × 80 = 240

5x = 5 × 80 = 400

So, the numbers are 160, 240 and 400.

Verification!!

2x + 3x + 5x = 800

Taking LHS,

= 160 + 240 + 400

= 400 + 400

= 800

LHS = RHS

Hence, verified.