the difference between two numbers is 7 six time the smaller plus the larger is 77 find the numbers
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From the given problem,
let us assume x and y are two numbers
x is the smaller one and y is the larger number
first condition, DIFFERENCE BETWEEN TWO NUMBERS IS 7
y-x=7
second condition, SIX TIMES THE SMALLER PLUS THE LARGER IS 77
6x+y=77
solving two equations
6x+y=77
-6x+6y=42
----------------------------------
7y=119
-----------------------------------therefore y=17
substitute y value in any of the equations, you will get x value
by solving 17-x=7 x=10
the required values are 10 and 17
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Answer : 17 &10
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