Question

If 76 is divided in the ratio 12:7, then the smallest part will be ?
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Answer 1

✨Answer✨:

The smallest part is 28.

✨Step-by-step explanation✨:

✨Given✨:

Ratio = 12:7

Sum of Ratio = 76

✨To Find✨:

The smallest part of 76 in the ratio 12:7.

✨Solution✨:

Let the common multiple be 'x',

So, the numbers become 12x and 7x.

Equation formed:-

12x + 7x = 76

⇒ 19x = 76

⇒ x = $\frac{76}{19}$

⇒ x = 4

So, the numbers are:

12x = 12 × 4 = 48

7x = 7 × 4 = 28

∵ 28 < 48,

The smallest part is 28.

✔️Verification✔️:

We will now verify our answer to check that is our answer exactly correct?

For that, now we know the value of 12x and 7x i.e. 48 and 28 respectively.

Their sum (given in the question) is 76.

So, now we will add both the numbers and if their sum came as 76 (which is given in question), then our answer will be exactly correct!

48 + 28 = 76

76 = 76

LHS = RHS

As I told, the sum of both numbers came as 76, so our answer is accurately correct!

Answer 2

$\large\bf{\underline\orange{Answer \:↝}}$

Let the common multiple be x

So, the numbers become 12x and 7x.

Equation formed:-

12x + 7x = 76

⇒ 19x = 76

⇒ x = 76/19

⇒ x = 4

So, the numbers are:

12x = 12 × 4 = 48

7x = 7 × 4 = 28

∵ 28 < 48,

The smallest part is 28.