Question

Find two positive numbers whose difference is 7 and whose product is 2438.

Answer 1

Answer: 348  and 355

Step-by-step explanation:

Let  two positive numbers are  x and y

so,

when  the difference is 7 then equation will become

x-y=7                   Eq(1)

when product is 2439 then equation will become

x*y=2438             Eq (2)

By rearranging Equation (2)

x= 2438/y         Eq(3)  

Now put the value of x as in eq (3) in eq(1) to get y's value

(2438/y)-y=7

(2438-1)/y =7

2437 / y =7

2437/7 =y

y=348.14    approx  348

Put the value of y in Eq(1) for x

x-348=7

x=7+348

x=355

so the two positve numbers are  355 and 348

For Check

x-y=7

355-348=7

7=7