Question

The sum of two numbers is 35. Three times the larger number is the same as 4 times the smaller number. Find rye large number.
(Hint: Let
x=larger number;
35-x= smaller number.)

Answer 1

Alright, I've got something:
L = larger number S = smaller number   L + S = 35 from which L = 35 - S or S = 35 - L   3*L = 4*S   Therefore 3*(35 - S) = 4*S   105 - 3*S = 4*S   Add 3*S to each side   105 = S*(4 + 3) = 7S   Therefore S = 15   L = 35 - S = 35 - 15 = 20
Hope this helps you :)

Answer 2

This kind of a problem needs to be done with system of equations.

First, identify your variables.
x = larger number
y = smaller number

Next, set up your equation.
x+y=35
3x=4y

Now, solve your system of equation through substitution.
x+y=35
3x=4y
_____
x+y=35
x=4y/3

4y/3 +y = 35
7y/3=35
7y=105
y=15

Then, solve for x.
3x=4y
3x=4(15)
3x=60
x=20

So, the larger number is 20 and the smaller number is 15.

HOPE THIS HELPS:)