Question

if a,b and c are in ratio 2:3:4 and a+b+c=120 find the value of c?​

Answer 1

Answer:

c = 53.33 (approx.)

Step-by-step explanation:

It is given that:

• a : b : c = 2 : 3 : 4

• a + b + c = 120

Taking the unknown quantity as x,

a : b : c = 2x : 3x : 4x

So,

• a = 2x

• b = 3x

• c = 4x

Now, let's substitute these values in the 2nd equation given.

a + b + c = 120

⇒ 2x + 3x + 4x = 120

⇒ 9x = 120

⇒ x = 120/9

Hence,

• a = 2x = 120/9 * 2 = 240/9 = 26.67 (approx.)

• b = 120/9 * 3 = 40

• c = 120/9 * 4 = 53.33 (approx.)

Hope it helps!

Answer 2

Given :-

• a, b and c are in ratio 2:3:4

To Find :-

• a + b + c = 120

Solution :-

a, b and c are in ratio 2:3:4

let a,b and c are 2x , 3x and 4x respectively

and it is given that,

a + b + c = 120

$\bold{: \implies 2x + 3x + 4x = 120} \\ \\ \bold{: \implies 9x = 120 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = \cancel \frac{120}{9} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = \frac{40}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, common multiple of a,b and c , x = 40/3

then,

c = 4x

$\bold{: \implies c = 4 \times \frac{40}{3} } \\ \\ \bold{: \implies \frac{160}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

hence, value of c is 160/3 or 53.33..