Question:
The difference of two numbers is 780 and their sum is 1120. Then the larger number is
The difference of two numbers is 780 and their sum is 1120. Then the larger number is
Show Hint
Add equations when sum and difference are given to directly find the larger number.
Updated On: Feb 27, 2026
- 880
- 900
- 950
- 975
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Concept:
Use system of equations.
Explanation:
Let larger number = $x$, smaller = $y$
\[
x - y = 780
\]
\[
x + y = 1120
\]
Add both equations:
\[
2x = 1900 \Rightarrow x = 950
\]
Was this answer helpful?
0
0
Top Questions on Algebra
- Let the direction cosines of two lines satisfy the equations : \( 4l + m - n = 0 \) and \( 2mn + 5nl + 3lm = 0 \). Then the cosine of the acute angle between these lines is :
- Expand \( (2x-3y)^5 \) using the Binomial Theorem.
- Consider the 10 observations 2, 3, 5, 10, 11, 13, 15, 21, a and b such that mean of observation is a and variance is 34.2. Then the mean deviation about median, is :
- Let \( S = \{x^3 + ax^2 + bx + c : a, b, c \in \mathbb{N} \text{ and } a, b, c \le 20\} \) be a set of polynomials. Then the number of polynomials in \( S \), which are divisible by \( x^2 + 2 \), is:
- If \[ \sum_{r=1}^{25}\frac{r}{r^4+r^2+1}=\frac{p}{q}, \] where \(p\) and \(q\) are coprime positive integers, then \(p+q\) is equal to:
View More Questions
Questions Asked in KMAT KERALA exam
- The word “Recalcitrant” means
- KMAT KERALA - 2026
- Vocabulary
- Which one of the following is a correctly spelled word?
- KMAT KERALA - 2026
- Vocabulary
- A runner can complete a 750 m race in two and a half minutes. The speed of the runner is
- KMAT KERALA - 2026
- Time and Work
- Choose the meaning of the idiom: a blessing in disguise
- KMAT KERALA - 2026
- Vocabulary
- A pipe fills a tank in 4 hours; another empties it in 8 hours. If both are opened, how long will it take to fill the tank?
- KMAT KERALA - 2026
- Time and Work
View More Questions