The difference between of two numbers is 49. one half of the larger number plus one seventh of the smaller num?

the difference between of two numbers is 49. one half of the larger number plus one seventh of the smaller number is 56. Find the numbers.


Please help.The difference between of two numbers is 49. one half of the larger number plus one seventh of the smaller num?
Let x be the bigger number and y be the smaller number.





x - y = 49


1/2(x) + 1/7(y) = 56





In the first equation, we can rearrange:





x - y = 49


x = 49 + y





Then, using this, we can subsitute 49 + y into the second equation for x and solve:





1/2(49 + y) + 1/7(y) = 56


49+y + 2/7(y) = 112


343 + 7y + 2y = 784


9y + 343 = 784


9y = 441


y = 49





Since y = 49, x - y = 49 becomes x - 49 = 49, and x is 98.The difference between of two numbers is 49. one half of the larger number plus one seventh of the smaller num?
Bigger Number = x, Smaller Number =y.





X-Y=49 - (1)


1/2X+1/7Y=56 - (2)





From (2) X=112-2/7Y


Sub into (1):


112-2/7Y-Y=49


9/7Y=63


Y=49


X=98

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