Made a version of this game. Let me know how it works...

var randomNumber = Math.floor(Math.random() * 10) + 1; 
var randomHintDecider = Math.floor(Math.random() * 10) + 1;
if (randomHintDecider === 1) {
    var hintNumber = 1
} else if (randomHintDecider === 2) {
    var hintNumber = 2
} else if (randomHintDecider === 3) {
    var hintNumber = 3
} else if (randomHintDecider === 4) {
    var hintNumber = 4
} else if (randomHintDecider === 5) {
    var hintNumber = 5
} else if (randomHintDecider === 6) {
    var hintNumber = 6
} else if (randomHintDecider === 7) {
    var hintNumber = 7
} else if (randomHintDecider === 8) {
    var hintNumber = 8
} else if (randomHintDecider === 9) {
    var hintNumber = 9
} else {
    var hintNumber = 10
}
alert('I have chosen a whole number between 1 and 10. Can you guess it in two turns?');
var guessedNumber1 = parseInt(prompt('What is your first guess?')); 
if (randomNumber === guessedNumber1) {
    document.write('<h2>Well done you guessed correctly.</h2>')
} else {    
    if (guessedNumber1 > randomNumber && guessedNumber1 !== 2 && guessedNumber1 !== 10) { 
        if (hintNumber >= guessedNumber1) {
            hintNumber = 1
        }
        var guessedNumber2 = parseInt(prompt('Unlucky, guess again. This is your final chance. What is your guess? Hint: The number I am thinking of is lower than a ' + guessedNumber1 + '. I also promise its not a ' + hintNumber + '... Or is it...'))
    } else if (guessedNumber1 < randomNumber && guessedNumber1 !== 9 && guessedNumber1 !== 1) {
        if (hintNumber <= guessedNumber1) {
            hintNumber = 10
        }
        var guessedNumber2 = parseInt(prompt('Unlucky, guess again. This is your final chance. What is your guess? Hint: The number I am thinking of is higher than a ' + guessedNumber1 + '. I also promise its not a ' + hintNumber + '... Or is it...'))
    } else if  (guessedNumber1 === 9 || guessedNumber1 === 2 || guessedNumber1 === 1 || guessedNumber1 === 10) {
        var guessedNumber2 = parseInt(prompt('Unlucky, guess again. This is your final chance. What is your guess? Hint: I promise its not a ' + hintNumber + '... Or is it...'))
    } 
    if (randomNumber === guessedNumber2 && randomNumber === hintNumber) {
        document.write('<h2>Arggh, your too clever for my tricks. Well done you guessed correctly, the number was a ' + hintNumber + '.</h2>')
    } else if (randomNumber === guessedNumber2 && randomNumber !== hintNumber) { 
        document.write('<h2>Arggh you got the right number! I knew I shouldn\'t have gone with a ' + randomNumber + '. At least I didnt lie to you.</h2>')
    } else if ((randomNumber !== guessedNumber2) && (randomNumber === hintNumber)) {
        document.write('<h2>Mwahaha, you should never trust me. My number was in fact a ' + hintNumber + '!</h2>')
    } else if ((randomNumber !== guessedNumber2) && (randomNumber !== hintNumber) && (guessedNumber2 === hintNumber)) {
        document.write('<h2>Wow! Do you not trust me. My number was not a ' + guessedNumber2 + '.' + ' It was in fact a ' +         randomNumber + '.</h2>')
    } else if ((randomNumber !== guessedNumber2) && (randomNumber !== hintNumber) && (guessedNumber2 !== hintNumber)) {
        document.write('<h2>Unlucky. My number was not a ' + guessedNumber2 + '.' + ' It was in fact a ' + randomNumber + '.</h2>')
    }
}
document.write('<h3>Refresh this page to try again.</h3>');