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The difference between two numbers is 3. The sum of two numbers is 45. What are the two numbers?

  • the difference between two numbers is 3. The sum of two numbers is 45. What are the two numbers?

  • Answer:

    to find it you subtract 3 from 45, then divide by two. That's the lower of the two numbers: 45-3 = 42/2=21 Then add three back on for the bigger number 21+3 = 24 24+21=45

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Come on... 21 and 24. 45 = 2X + 3. 2X = 42. X = 21. X + 3 = 24, the other number. Simple algebra. Was that worth spending 5 points on?

Bubbajones

x-y=3 x+y=45 add 2x=48 x=48/2=24 y=24-3=21

sarwat

x - y = 3 x + y = 45 x - y = 3 x = y + 3 (y + 3) + y = 45 y + 3 + y = 45 2y + 3 = 45 2y = 42 y = 21 x = y + 3 x = 21 + 3 x = 24 The numbers are 21 and 24

Sherman81

21 and 24

brucebirchall

21 and 24

ilse72

Another way to look at it using substitution: Let x and y be the two numbers. We can make two equations from the information given: (1) x + y = 45 (2) x - y = 3 Put either equation in terms of x or y. It's easiest to put #2 in terms of x: (2) x = 3 + y Then substitute into the other equation: (1) x + y = 45 (1) (3 + y) + y = 45 (1) 2y = 45 - 3 (1) y = 21 Then back again into #2 (2) x = 3 + y (2) x = 3 + (21) (2) x = 24

scruffy

x - y =3 x + y =45 2x=48(y will cross out) x=24 put x=24 in first equation 24-y=3 -y=3-24 y=21 x=24 y=21

pannu_karam

x+y =45.......(1) x-y =3........(2) (1)+(2) gives 2x= 48, x = 24 from (1) y = 21 so the nos are 24 and 21

raj_6c1

24,21

san143

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