The sum of the two numbers is 76. Three times the larger number is 46 more than four times the smaller one. Find the two numbers.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 50 and 26.
Let, the larger number = x
The smaller number = y
So, x + y = 76
⇒ x = 76 - y .....(1)
Also, 3x = 4y + 46 .....(2)
⇒ 3(76 - y) = 4y + 46
⇒ 228 - 3y = 4y + 46
⇒ 7y = 182
⇒ y = 182/7 = 26
Substitute the value of y back into equation (1)
x = 76 - 26 = 50
Therefore, the two numbers are 50 (larger) and 26 (smaller).