Question

the difference between 2 numbers is 4 and the product of these 2 numbers are 140 . what are the numbers​

Answer 1

Answer:

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Step-by-step explanation:

Let the number be x and y

∴ x - y = 4 (gn)

xy = 140 (gn)

∴(x+y)2=(x−y)2+4xy

=42+4×140

= 16 + 560 = 576

∴x+y=576−−−√=24

x + y = 24 ---- (1)

x - y = 4 ------(2)

2x = 28, x = 14

Put the valve of x in (1), we get

14 + 4 = 24, y = 24 - 14 = 10

∴ The smaller number is 10