Question

(3) 2x 70. The difference between two numbers is 215.6. If the greater number is divided by the smaller one, the quotient is 15. Which is the greater number​

Answer 1

Answer:

greater  number is 231

Step-by-step explanation:

given that :

difference between two numbers is 215.6

let the greater number be denoted as 'x'

so the other number ( smaller number)  becomes:

x - 215.6

also given that , If the greater number is divided by the smaller one, the quotient is 15.

we know that : dividend = (divisor)(quotient)

dividend= greater number = x  ;

divisor = smaller number = x - 215.6

quotient = 15

substitute these values in dividend = (divisor)(quotient) + remainder .  formula

remainder = 0  

x = (x - 215.6)(15)

x = 15x - (15)(215.6)

x = 15x - 3234

15x - x = 3234

14x = 3234

x = (3234)/(14)

x = 231

greater  number is 231

and smaller number is

=(x - 215.6)

=(231 - 215.6)

= 15.4

smaller number is 15.4