SOLUTION: The sum of two numbers is 15. Three times the first number is equal to 5 times the second number minus 11. What is the equation and what are the two numbers?
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Question 13774: The sum of two numbers is 15. Three times the first number is equal to 5 times the second number minus 11. What is the equation and what are the two numbers?
solution
let the numbers be X and Y.
then accourding to first condition their sum willbe
x+y= 15 (1)
accourding to second condition we have
3x= 5y-11 (2)
now we can solve the problem by simultaneously solving equations or by putting values of is equation in second
that is
from the first equation
x= 15-y
putting value of x in equation 2
we get
3(15-y)= 5y-11
45-3y= 5y-11
45+11= 5y+3y
56= 8y
or
8y= 56
y= 56/8
dividing by 8 on both sides
y= 7
now for x
put the value of y in equation (1)
that is
x+7= 15
x= 15-7
x= 8
hence x= 8 and y= 9 Answer by baigshahib(11) (Show Source):
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