52.3k views
2 votes
One number is 5 more than 3 times another number.the sum of the numbers is 45. find the numbers

User Mo Hajr
by
7.9k points

1 Answer

9 votes

Answer:

35 and 10

Explanation:

Let m and n be the numbers

m is 5 more than 3 times n can be written as

m = 3n + 5 ... (1)

Sum of numbers is 45 so m + n = 45 .or

m = 45 - n ... (2)

Equating RHS of (1) and (2) gives us

3n + 5 = 45 - n

Collecting like terms

3n + n = 45 -5

4n = 40

n = 10

Therefore m = 45-10 = 35

Quick Check

In (1) substitute for m and n,

LHS is m = 35

RHS = 3 * 10 + 5 = 35

User Malaury Boudon
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories