x5y is a three digit number . It is 410 more than the two digit number 'xy' . If x+y =7 then find x-y is
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Correct option is
B
11
Letthetwodigitnumberhasx&yastensandunitdigit
respectively.
Thenthenumberis10x+y.
Soitsreversenumberis10y+x.
Adding,wegetthesum=S=(10x+y)+(10y+x)
⟹S=11x+11y=11(x+y).
∴TomakeSasquarenumbertheleastvalueof(x+y)
shouldbe11sothatS=11×11whichisasquarenumber.
∴(x+y)=11.
Ans−OptionB.
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