AlgebraEasy–MediumLarger of two numbers from a sum and a ratio
Algebra practice question
Two numbers have a sum of 60 and are in the ratio 2 : 3. What is the larger number?
Answer: 36
Let the numbers be 2k and 3k: 5k = 60 → k = 12. The larger is 3k = 36.
Common wrong answers
- If you answered 12
- 12 is k, one 'part'.
- If you answered 24
- 24 is the smaller number.
- If you answered 40
- 40 comes from 60 × 2/3, misapplying the ratio.
More Algebra questions
- Easy–Medium
A line passes through the points (0, 3) and (2, 7). What is the slope of the line? - Easy–Medium
A gym charges a $25 one-time signup fee plus $15 per month. Which equation gives the total cost C, in dollars,… - Easy–Medium
If 5(x − 2) = 3x + 4, what is the value of x? - Easy–Medium
A taxi charges a $3.50 base fare plus $2.25 per mile. If a ride costs $19.25 total, how many miles was the rid… - Easy–Medium
The equation of a line is 3x + 2y = 12. What is the y-coordinate of the point where the line crosses the y-axi… - Easy–Medium
A line in the xy-plane passes through the points (1, 5) and (4, 11). What is the y-intercept of the line?
Not affiliated with the College Board. SAT is a trademark of the College Board.