Question

The larger of two numbers is one more than three times the smaller number.If the sum of the numbers is 49, find the numbers.

Answer 1

Answer:

larger number x = 37 and smaller number y = 12

Step-by-step explanation:

Let the larger number be x and the smaller number be y.

Sum of the numbers is $x + y = 49$ ....(1)

∴ $y = 49 - x$

Now, 3 times of the smaller number = 3y

According to question,

$x = 3y + 1 ......(2)$

Now, by substituting the value of y in (2)

$x = 3 (49 - x) + 1$

$x = 147 - 3x + 1$

$x + 3x = 148$

$4x = 148$

$x = 37$

Now,y = 49 - x and $x = 37$

$y = 49 - 37 = 12$

So the larger number x =37 and smaller number y = 12.