The sum of 2 numbers is 465. Their difference is 113. What is the smallest number of them?
A. 167
B. 214
C. 193
D. 176
Solution(By Examveda Team)
Total Money = 10350Let no of 50 rupees note = X
Then, 500 rupees note = 36 - X
Now,
50 * X + 500 * (36 - X) = 10350
50X + 18000 - 500X = 10350
- 450X = - 7650
X = 17.
Number of 50 rupees note = 17.
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X+Y= 465
X-Y=113
X=289
Y=176 Answer
Let two numbers are X and Y.
Now,
X + Y = 465 ----------------- (1)
X - Y = 133 ------------------ (1)
Adding both equation,
2X = 465 + 133
X = 299.
Then other Number is,
465 - 299 = 166.
Smallest Number = 166.