8th Grade Math
posted by Disha on .
*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?

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.