Question

One positive number is five times another number. The difference between the two number is 484

Answer 1

• $\sf{x\:=\:605}$
• $\sf{y\:=\:121}$

Step-by-step explanation:

Let the numbers be $\sf{'x'}$ and $\sf{'y'}$

One number is five times another number,

$\sf{x\:=\:5y\:----(1)}$

The difference between the two numbers is 484,

$\sf{x\:-\:y\:=\:484\:---- (2)}$

Substituting (1) in (2) :

$\implies\sf{x\:-\:y\:=\:484}$

$\implies\sf{5y\:-\:y\:=\:484}$

$\implies\sf{4y\:=\:484}$

$\implies\sf{y\:={\dfrac{484}{4}}}$

$\implies\sf{y\:={\cancel{\dfrac{484}{4}}}}$

$\implies\sf{y\:=\:121}$

Substituting 'y' value in (1) :

$\implies\sf{x\:=\:5y}$

$\implies\sf{x\:=\:5\:\times\:121}$

$\implies\sf{x\:=\:605}$

Hence, x = 605 and y = 121.