Important word problems on Linear Equations in two variables 1
Question for practice
The following questions are more helpful for class tenth students for all boards.
Questions 1. The result of dividing a two-digit number by reversing the order of digits is 5/6. If the difference of digits is unity. Find the number.
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Ans.Let digit at unit's place = x
ReplyDeleteLet digit at ten's place = y
original no. = 10y+x
reversed no. = 10x+y
10y+x/10x+y = 5/6
or 60y +6x = 50x +5y
or -44x +55y = 0 ......(1)
difference of digits = 1
x - y = 1 ......(2) { x > y from (1) }
by elimination from (1) and (2),
y = 4
x = 5
original no. = 10y +x = 10(4) +5 = 45
therefore, the number is 45.
numbers = 45 & 54
ReplyDelete=> digits = 4 & 5
let the no. be 10y+x
ReplyDelete(10y+x)/(10x+y)=5/6........(1)
x-y =1......(2)
by elemenating 1 and 2
x=5 and y=4
no.=45