Question

A value 4 times a smaller number is 2 less than a larger number .their difference is 35.

Answer 1

x = 11

y = 46

Explanation:

Let x be the smaller number

Let y be the larger number,

Then

4 times a smaller number is 2 less than a larger number

so,

4x = y - 2 (i)

and,

their difference is 35

so,

y - x = 35 (ii),

now using (ii), we get,

y = 35 + x

putting this into (i),

4x = 35 + x - 2

4x - x = 33

3x = 33

x = 33/3

x = 11

Then,

since y = 35 + x,

y = 35 + 11

y = 46

Answer 2

Explanation:

x = smaller number

x+35 = larger number

4x +2 = x+35

3x = 33

x = 11 then the larger is 11+35 = 46