Question

the sum of two numbers is 18. the sum of their reciprocal is 14. find the numbers

Answer 1

Answer:

Step-by-step explanation:

14+4=18

18/252=1/14

When it is reciprocal the it is 14

Answer 2

★ Correct question:

The sum of two numbers is 18. the sum of their reciprocal is ¼. find the numbers.

★ Solution:

Let the required numbers be a and b .

According to the question,

Sum of their reciprocal = ¼

➠ a + b = 18 .........( i )

➠ 1/a + 1/b = 1/4

➠ a + b/ab = 1/4

From equation ( i ) , a + b = 18

➠ 18/ab = 1/4

➠ ab = 18 × 4

➠ ab = 72

Now ,

( a - b )² = ( a + b )² - 4ab

( a - b )²= 18² - 4 × 72

( a - b )² = 36

a - b = 6

On solving a + b = 18 and a - b = 6, we get

a = 2 and b = 6

Hence, the numbers are 12 and 6 .