Question

Write the secret number from the following hints: • It is greater than half of 100. • It is greater than 7 tens and lesser than 8 tens. • The tens digit is four more than the ones digit. • Together the digits have a sum of 10.​

Answer 1

Answer:

$73$

Step-by-step explanation:

$let \: the \: ones \: digit \: be \: x \: and \: the \: tens \: digit \: be \: y \\ \: given \: that \: = x > 50 \\ 8 \: tens \: > x > 7 \: tens \\ y + x = 10 \\ yis \: four \: more \: than \: x\\ \\ solution \: \: \: \: \: \\ y + x = 10 \\ \\ y = x + 4 \\ y = 10 - x \\ substituting \: y \: with \: x + 4 \: the \: new \: equation \: we \: get \: is \: \\ 4 + x + x = 10 \\ 4 + 2x = 10 \\ 2x = 10 - 4 \\ 2x = 6 \\ x = \frac{6}{2} \\ x =3 \\ \\ itis \: also \: given \: that \: x + y = 10 \: so \\ 3 + y = 10 \\ y = 10 - 3 \\ y = 7 \\ \\ therefore \: x = 3 \: and \: y = 7 \\ so \: our \: number \: becomes \: 73$

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