Question

$\huge \fcolorbox{red}{pink}{Question - }$

Three numbers are in the ratio 1:2:3.If their sum is 690,find the numbers.​

Answer 1

$\huge\bf\star\fbox\red{Question:-}$

Three numbers are in the ratio 1:2:3.If their sum is 690,find the numbers.

$\huge \green {\boxed{Answer - }}$

Given:-

Sum of numbers in ratio is:-690

So,let the unit of ratio be x

Then,1x+2x+3x=690

6x=690

$x = \frac{690}{6} = 115$

$\huge \fcolorbox{red}{pink}{x- 115}$

Now,Put values of x

1x=1×115=115

2x=2×115=230

3x=3×115=345

$\large\boxed{\fcolorbox{red}{yellow}{Hope it helps}}$

Answer 2

Given Question:-

Three numbers are in the ratio 1:2:3.If their sum is 690,find the numbers.​

Required Answer:-

The three numbers are 115, 230 and 345.

Explanation:-

$\large{\underline{\sf{\red{Given:-}}}}$

• Three numbers are in the ratio 1:2:3.
• Their sum is 690.

$\large{\underline{\sf{\red{To \:Find:-}}}}$

• Find the numbers.

$\large{\underline{\sf{\red{Digging \: Out:-}}}}$

• Let the numbers be 1x, 2x and 3x.
• As, it is a question for linear equation in one variable, The equation formed will be

$\large{\boxed{\sf{\green{1x+2x+3x=690}}}}{\orange{\checkmark}}$

• So now let us solve it further:-

$\implies\sf{1x+2x+3x=690}$

$\implies\sf{6x=690}$

$\implies\sf{x=\frac{690}{6} }$

$\implies\sf{x=115}$

• We found the value of x, so let us insert the values.

$\implies\sf{1x=1\times115=115}$

$\implies\sf{2x=2\times115=230}$

$\implies\sf{3x=3\times115=345}$

So, the three numbers are 115, 230 and 345.

Verification:-

• As these numbers add up to 690, we will add and see that is our answer correct or not.

$\implies\sf{115+230+345 = 690}$

So, the answer we got is 690.