Question

*I NEED THESE IN ALGEBRAIC EXPRESSIONS!

1.) The larger of two numbers is 1 less than 3 times the smaller. Their sum is 63. Find the numbers.

2.) Find two numbers whose sum is 92, if the first is 4 more than 7 times the second.

3.) The sum of two numbers is 172. The first is 8 less than 5 times the second. Find the first number.

4.)Together, a necklace and a bracelet cost $192. Find the price of each if the necklace costs 3 times as much as the bracelet.

5.) Grandpa's age is 6 years less than 6 times Junior's age. The sum of their ages is 78. Find each of their ages.

6.) The first of two films laster 3 minutes less than then twice as long as the second. Together the two films laster 132 minutes. How long was the first film?

Answer 1

1. 2nd number = x,
1st number = (3x - 1).

x + (3x - 1) = 63,
4x -1 = 63,
4x = 64,
x = 16.

2. 2nd number = x,
1st number = (7x + 4),

x + (7x + 4) = 92,
8x + 4 = 92,
8x = 92 - 4,
8x = 88,
x = 11.

The remaining problems are similar.