Math, asked by tanispandit1, 11 months ago

the digit at tens place of a two digit number is three times the digit at ones place of the sum of this number and the number formed by reversing it's digit is 88​

Answers

Answered by SreeragSunil
0

Answer:

62 is the answer.

Step-by-step explanation:

A two digit number is of the form 10x +y

Now give x= 3y

Reversing means two digit number will become the form of 10y+x

10x+y+10y+x = 88

Solve the two equations and you will get the answer

Answered by silentlover45
6

\underline\mathfrak{Given:-}

  • \: \: \: \: \: Let \: \: ones \: \: place \: \: digit \: \: = \: \: x

  • \: \: \: \: \: Let \: \: tens \: \: place \: \: digit \: \: = \: \: y

\: \: \: \: \: \therefore number \: \: = \: \: {10xy} \: + \: {x}

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \leadsto \: \: \: \: {10y} \: + \: {x}

\underline\mathfrak{According \: \: \: To \: \: \: Questions:-}

  • \: \: \: \: \: \: \: tens \: place \: \: digit \: \: = \: \: 3 \: \: \: \: \: \: {(ones \: place \: digit)}

\: \: \: \: \: Now,

  • \: \: \: \: \: original \: \: no \: \: = \: \: {10y} \: + \: {x}

  • \: \: \: \: \: reversed \: \: no \: \: = \: \: {10x} \: + \: {y}

\: \: \: \: \: \leadsto {10y} \: + \: {x} \: + \: {10x} \: + \: {y} \: \: = \: \: {88}

\: \: \: \: \: \leadsto {11x} \: + \: {11y} \: \: = \: \: {88}

\: \: \: \: \: \leadsto {11x} \: {(x \: + \: y)} \: \: = \: \: {88}

\: \: \: \: \: \leadsto {x \: + \: y} \: \: = \: \: {8} \: \: \: \: \: ..{(1)}

\: \: \: \: \: we \: \: know \: \: that \: \: tens \: \: place \: \: digit \: \: is \: \: {3} \: times \: \: of \: \: unit \: \: digit \: \: digit.

\: \: \: \: \: \leadsto {x} \: + \: {3x} \: \: = \: \: {8} \: \: \: \: \: {[from \: \: Eq.(1)]}

\: \: \: \: \: \leadsto {4x} \: \: = \:  \: {8}

\: \: \: \: \: \leadsto {x} \: \: = \: \: {2}

\: \: \: \: \: putting \: \: the \: \: value \: \: of \: \: x \: \: in \: \: Equation \: {(1)}

\: \: \: \: \: \leadsto {y} \: \: = \: \: {3x}

\: \: \: \: \: \leadsto {y} \: \: = \: \: {3} \: \times \: {2}

\: \: \: \: \: \leadsto {y} \: \: = \: \: {6}

  • \: \: \: \: \: Number \: \: = \: \: {10y} \: + \: {x}

\: \: \: \: \: \leadsto {10} \: \times \: {6} \: + \: {2}

\: \: \: \: \: \leadsto {60} \: + \: {2}

\: \: \: \: \: \leadsto {62}

__________________________________

Similar questions