Question

The product of two positive numbers is 2500. If one is four times the other then the ssum of two numbers is

Answer 1

Answer:

Step-by-step explanation:

Let the numbers be x and y .

xy= 2500 -----1

and

one number is four times the other

therefore

x=4y (given) -----2

subs. 2 in 1

4y*y =2500

$4y^{2}$ =2500

$y^{2}$ =2500/4 = 625

therefore

$y^{2}$ =625

y= $\sqrt{625\\}$

y=+or- 25

since the numbers are +ve y=25

subs y=25 in 2

x= 4*25 =100

therefore the numbers are 25 and 100

sum = 100+25 =125