Question

7/3+7/4 = 28+21/12 = 49/12 = 7/4×7/3 write another pair of numbers with their sum and product equal

Answer 1

Answer:

5/2 and 5/3

Step-by-step explanation:

Hi,

 We need to find pairs of numbers with their sum and produt equal.

Let us assume the 2 given numbers be 'a' and 'b'.

Hence, their sum will be 'a + b'

Product will be 'ab'

Sum = Product

=> (a + b) = ab

=> ab - b = a

=> b = a/(a - 1)

By choosing any a≠1, we can find the value of b such that for that pair (a, b) sum will be equal to their product.

Say, let a = 5/2

so b = (5/2)/(5/2 - 1) = 5/3

We can observe that for 5/2, 5/3, we have

5/2*5/3 = 25/6 = (5/2 + 5/3).

Hope, it helped !