Question

The product of two numbers is 1875 and one of the numbers when divided by the other yields the quotient
3/25
Find the numbers.​

Answer 1

Answer:

The numbers are 125 and 15

Step-by-step explanation:

Let x and y be the two numbers,

Here,

$x*y = 1875$

$or, x =\frac{1875}{y}$.....(i)

$\frac{x}{y}$ = $\frac{3}{25}$

$or, x =\frac{3y}{25}$.....(ii)

equating eqns i and ii,

$\frac{3y}{25}$$=\frac{1875}{y}$

$or, 3y^{2} = 1875*25\\or, y^{2} = \frac{46875}{3} \\or,y^{2} = 15625\\\\Squaring both sides,\\or,\sqrt{y^{2}} =\sqrt{15625} \\or, y =125$

To find the value of x,

From eqns i ,

$x$ $=\frac{1875}{y}$

$or, x=\frac{1875}{125}\\ or,x = 15$

∴The numbers are 125 and 15