The difference between two numbers is 14 and the difference between th

1.	The difference between two numbers is 14 and the difference between their squares is 448. Find the numbers.
Answer» Let us consider, First number = x and Second number = y (Assume y is smaller) As per the statement, x – y = 14 …..(1) and x² – y² = 448 (x + y) (x – y) = 448 (x + y) x 14 = 448 x + y = 32 ……(2) Adding (1) and (2), 2x = 46 or x = 23 Subtracting (1) from (2) 2y = 18 or y = 9 Answer: Numbers are 23 and 9

The difference between two numbers is 14 and the difference between their squares is 448. Find the numbers.

Answer»

Let us consider,

First number = x and

Second number = y

(Assume y is smaller)

As per the statement,

x – y = 14 …..(1)

and x² – y² = 448

(x + y) (x – y) = 448

(x + y) x 14 = 448

x + y = 32 ……(2)

Adding (1) and (2),

2x = 46 or x = 23

Subtracting (1) from (2)

2y = 18 or y = 9

Answer:

Numbers are 23 and 9