Question

7/3+7/4=28+21/12=49/12=7/4x7/3 write another pair of numbers with their sum and product equal ​

Answer 1

Two different pairs can be (2,2) and (3,3/2).

We have to find numbers which have their sum and product equal.

To find such numbers we provide them with a variable and then formulate an equation.

By forming the equation, we will be able to find a general solution of one number in terms of another.

By the general solution, we will be able to generate an infinite amounts of pairs 2 of which are given above in the answer.

Let one number be x and the other be y.

Then by the equation:-

xy= x+y.

Hence we get

y= x/x-1.

Hence for any valid value of x and y we can generate an infinite amount of such pairs.