Home › CAASPP Mathematics › Mathematics › Math Models › One number is five more than another. The sum of…
One number is five more than another. The sum of the numbers is 21. Find the two numbers.
A7 and 14
B5 and 16
C9 and 12
D8 and 13
Answer & Solution
Correct answer: D. 8 and 13
1. Let n equal the first number, so the second number is n plus 5.
2. The sum of the two numbers translates to n plus (n plus 5) equals 21.
3. Combine like terms: 2n plus 5 equals 21.
4. Subtract 5 and divide by 2 to get n equals 8, so the first number is 8 and the second is 13.
5. Check: 8 plus 13 equals 21, and 13 is indeed five more than 8.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.1 Use a Problem-Solving Strategy_
Related questions
Remy has $14,000 to split between a fund paying 4% and a fund paying 7%. To earn 6.1% on tLeah sold 115 museum tickets for a total of $1,163. Adult tickets cost $12 and student ticSheila's salary fell from $42,000 last year to $37,800 this year because of furlough days.The average cost of a car in 2014 was $28,500, which was $1,500 less than 6 times the averA triangle has angles of 31 degrees and 128 degrees at two of its corners. How large is thMichaela has $2.05 in dimes and nickels, with seven more dimes than nickels. How many dimeAreli invested a principal of $950 at a 3% interest rate. How much simple interest did sheThe standard bus fare in Chicago rose from $1.50 in 1995 to $2.25 in 2008. What was the pe