Exercise 8b two numbers are in the ratio 8 3 if the sum of the numbers is 143 find the numbers

EXERCISE 8B Two numbers are in the ratio 8: 3. If the sum of the numbers is 143, find the numbers.

let the number = xthan the number be 8x and 3xaccording to the question , if the sum of numbers = 1438x + 3x = 143= 11x = 143x = 143/11x= 13 one number = 8x = 8*13 = 104other number = 3x = 3*13=39

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Two numbers are in the ratio 8 : 3. If the sum of the numbers is 143, find the numbers.

Solution

The numbers be 8x and 3x

(∴Ratio is 8 : 3)

Sum = 143

According to the condition

8x + 3x = 143 ⇒ 11x = 143

⇒ x=14311=13

∴ First number = 8x = 8 × 13 = 104

and second number = 3x = 3 × 13 = 39 Ans.

Mathematics

Secondary School Mathematics VIII

Standard VIII