word problem with quotient as answer

[Kimbers0812]

I'm struggling with this one and it is similar to the post of Sean1989.

One number is 205 more than another number. If the larger number is divided by the smaller number, the quotient is 6 and the remainder is 15. Find the numbers.

I'm guessing you would take X/205X = 6 remainder of 15 but I'm not sure where to go from there.

 

[Mrspi]

I'm struggling with this one and it is similar to the post of Sean1989.

One number is 205 more than another number. If the larger number is divided by the smaller number, the quotient is 6 and the remainder is 15. Find the numbers.

I'm guessing you would take X/205X = 6 remainder of 15 but I'm not sure where to go from there.

Remember how you checked division problems in grade school? You multiplied the quotient by the divisor, and then added in the remainder. The result should be the dividend (the number you were dividing into.)

Apply this technique to your problem.
Let x = smaller number (this will be your divisor)
then x + 205 = larger number (this is the dividend)

when the larger number is divided by the smaller, the quotient is 6 and the remainder is 15. So,

(divisor * quotient) + remainder = dividend

(x * 6) + 15 = x + 205

Can you solve it now?

 

[Kimbers0812]

I'm close (I think ) but off. I came up with X=38 with a remainder of 14 and not 15. What did I do wrong?

 

[Mrspi]

I'm close (I think ) but off. I came up with X=38 with a remainder of 14 and not 15. What did I do wrong?

Since you did not show us your work, it is very difficult to tell what you did wrong.

But...x = 38
x + 205 = 243

38 goes into 243 six times. 6*38 = 228
243 - 228 = 15 <-------this is your remainder