# math

one number is 6 more than another. If the sum of the smaller number and 3 times the larger number is 34, find the two numbers?

1. 👍
2. 👎
3. 👁
1. Let y be the larger number and x the smaller one.
x + 6 = y
Rewrite as
-x + y = 6
x + 3y = 34
Add the last two equations:
4y = 28
Divide both sides by 4 to solve for y. Then x will be easy.

1. 👍
2. 👎

## Similar Questions

1. ### Math

Find two numbers whose sum is 90 and one-third of the smaller number is equal to one seventh of the larger number

2. ### algebra

The sum of two numbers is 56. the larger number is 7 less than 3 times the smaller number. Find the smaller number.

3. ### algebra

The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following is the smaller number?

4. ### Math

The sum of two numbers is 15. Four times the smaller number is 60 less than twice the larger number. What is the larger number? If you could help me I would really appreciate it.

1. ### math

the sum of a number and 3 times that number is 76. what is that number? PLEASE HELP ME I DON'T GET IT!!!!!!!! Mathematics is a language, so translate the English into "math" let the number be x "the sum of a number and 3 times

2. ### URGENTlast question for Math

Which word phrase can be used to represent the algebraic expression 4(21+n)? 4 plus the sum of 21 and a number n 4 times the product of 21 and a number n*** 4 times the sum of 21 and a number n 4 less than the sum of 21 and a

3. ### Algebra

The sum of two numbers is 3. Four times the larger number plus three times the smaller number is 25. Find the numbers. The larger number is___? and the smaller number is___?

4. ### math linear equation

The sum of two number is 110 .oneffifth of the larger number is 8 more than one ninth of the smaller number. Find the number

1. ### Algebra

One number is 3 times another. If the sum of their reciprocals is 4, find the two numbers. __ 15 this is supposed to be 4 over 15 Let the smaller number be x. The two numbers are then x and 3x. You have only one unknown now. 1/x +

2. ### math

The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

3. ### advance algebra

The sum of two numbers is 103, the larger number is 1 more than 5 times the smaller number. use x=smaller number y=larger number

4. ### Algebra

Find 3 consecutive odd numbers such that the sum of 5 times the smaller number a twice the larger number is 33 more than six times the median number. Do not understand word problems. ..please help