The sum of two numbers is 35.

Three times the larger number is

the same as 4 times the smaller

number. Find the larger number.

(HINT: Let x = larger number;

35 - X=smaller number.)

Larger number (x) = 20

Step-by-step explanation:

They're saying that the larger number 3 times is EQUAL (the same) to 4 times the smaller number.

The smallest number=35-x.

The larger number = x.

3 times the larger number=3x

4 times the smaller number=4 (35-x)

Now, input it into an equation and solve:

3x=4 (35-x) Distribute by multiplying 4 with 35 and x.

3x+4x=140-4x+4x Get 140 by itself by adding 4x.

7x/7=140/7 Divide.

x=20

Since x = the larger number, x=20.