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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.)

Verified Answer :

Karazure

Alright, I've got something:

L = larger number
S = smaller number

L + S = 35 from which L = 35 -
S or S = 35 - L

3L = 4S

Therefore 3(35 - S) = 4S

105 - 3S = 4S

Add 3S to each side

105 = S(4 + 3) = 7S

Therefore S = 15

L = 35 - S = 35 - 15 = 20


Hope this helps you :)

lekhagummalla

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:)

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