Can anyone answer this one?

Question

The difference of two positive numbers is 91. The larger number (minuend) is 5 less than 5 times the smaller number (subtrahend). What are the two numbers? Define variables, set up equation(s) and solve

Answer 1

(a - b = 91
(a = 5b - 5

Equation I:
(5b - 5) - b = 91
4b = 91 + 5
4b = 96
b = 24
Equation II:
a = 5b - 5
a = 5(24) - 5
a = 120 - 5
a = 115
Answer: The two numbers are 115 and 24.
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Answer 2

Let x = the smaller number
Then 5x-5 = larger number
5x-5 - x = 91
4x = 96
x = 24 = smaller number
5x-5 = 115 = larger number

Answer 3

The larger number shall be x and the smaller,y.
x-y=91...1

x+5=5y
x=5y-5......2

Put 2 into 1.

5y-5-y=91
4y=96
y=24
x=5(24)-5=115

Therefore, the larger no. is 115 and the smaller one is 24.

I hope this helps. :) Note that the difference is 91 not that the sum is 91.

Answer 4

x= small number
5x - 5 = large number

you are subtracting them to get to 91

so it becomes 4x-5 = 91

add 5 on both sides and divided by 4, you get x= 24

go back to original equation

small = x= 24
larage = 5x -5 = 5 (24) - 5 = 115

so 115 - 24 = 91

Answer 5

The smaller no.=24
The larger no.=115

Answer 6

91= (5x-5)+(x)
91+5=6x
96/6=x
x=16
5x-5=75
75+16=91
The larger number is 75
The small number is 16

Answer 7

the larger no is 115 and the smaller one is 24
if x is the larger no. and y is the smaller one, the two eq.s are
x-y=91
5y=x+5
solving them we get the answer

Answer 8

1st number x
2 nd number x-25
total 2x-25
2x=116
x=58

Answer 9

To answer your question, yes I can solve it. Now you should try your homework on your own.