Question

The ratio between 2 numbers is 8 : 11 and the difference between them is 30 then their sum is ?
A: 90
B: 190
C: 245
D: 354

please answer D;

Answer 1

Answer :

›»› Sum of two number = 190

Given :

• The ratio between 2 numbers is 8 : 11 and the difference between them is 30.

To Find :

• Sum of two number = ?

Required Solution :

Let ,

The number be "x", The First number be 8x and The Second number be 11x.

Now ,

⇒ Second number - First number = 30

⇒ 11x - 8x = 30

⇒ 3x = 30

⇒ x = 30/3

⇒ x = 10

➝ Number = x

➝ Number = 10

Therefore ,

➝ First number = 8x

➝ First number = 8 × 10

➝ First number = 80

➝ Second number = 11x

➝ Second number = 11 × 10

➝ Second number = 110

Now, we have First number and second number,

• First number = 80
• Second number = 110

And we need to find Sum of two number.

Sum of two number :

⇛ First number + Second number

⇛ 80 + 110

⇛ 190

║Hence, the Sum of two number is 190.║

Answer 2

AnSwEr :

• 190

Given :

• The ratio between two numbers is 8 : 11 and their difference is 30.

To Find :

• Their sum.

SoluTion :

Put x in the ratio.

Then, numbers are

• 8x

• 11x

It is given that their difference is 30.

According to question :

11x - 8x = 30

→ 3x = 30

→ x = 30/3

→ x = 10

Put the value of x in the ratio :

• 1st number => 8x => 8 × 10 => 80
• 2nd number => 11x => 11 × 10 => 110

Now, we've to find the sum of the numbers.

According to question :

→ Sum of the numbers =>110 + 80

→ Sum of the numbers => 190

Hence, the sum of the numbers is 190.

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