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

Answer 1

Given :-

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

To find :-

• Sum of two numbers

Solution :-

• Ratio of two numbers = 8 : 11

• Difference of two numbers = 30

Now, let the number be x

• First number = 8x

• Second number = 11x

According to the given condition

→ Second number - First number = 30

→ 11x - 8x = 30

→ 3x = 30

→ x = 30/3

→ x = 10

Hence,

• Number = x = 10

Therefore,

• First number = 8x = 80

• Second number = 11x = 110

→ Sum of two number

→ First number + Second number

→ 80 + 110

→ 190

• So, correct option is (B)

Answer 2

AnSwEr :-

• Sum of the numbers is 190.

Given :-

• The ratio between two numbers is 8 : 11 and the difference between them 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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