70004
Question
P, Q and R stand for three different numbers.
The average of P and Q is 30.
The average of Q and R is 45.
P + Q + R = 120
Calculate the values of P, Q and R.
Worked Solution
Test each statement:
|
|
Average 2P + Q |
= 30 |
P + Q |
= 60 |
∴ Eliminate first and third option:
|
|
Average 2Q + R |
= 45 |
Q + R |
= 90 |
∴ Eliminate second option:
=> {{{correctAnswer}}}
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twbCujiaRmhfj1QLa7v+VF5fgRKsypRUYf5Zc4aKACHFMdyCROU7MLKwn8Zbpm1B/h9wYvNFM+VI2s65q4n4CUjw0CrEVXNZ+/60SLrmBcED8IRMpnxWoOJXu4FbVtm09CVuVkFq62750W4i/RfiOMvhAqU69SYx0uiR0/EkCldZyQQdoXtrzmMu7cSt74NL4TUeyTASe1XY57e0qNFa2qV9aGBf1iAuOGgCMHASiTyvpWNE19rh/nzjcgns710ELQyrEjNatecN2XHvyfBmbRsSGB1LAprqI/MdoI2Hv3Ow9KkgHlHfsmFZjNjWaMVYeoSoXlBbnYD5VNIORnXEMv6lz+PIrBpTSmoOlNlRR0EdYbyTDlZUGGT78866QvgAJ66uaivK3kMlGpe2xau7x1P6sbzfN4dYxxvVemIf8Uj0oCdiRjXh7Q6ylRsdSAS+f44ETjdAe6HyLED2LRONKfV037TloEs082LAHr1ipkhexPq/RLDY5uj7ElqVYmdjIFes92X1Vdcxy/xTBSIaWvCM47edso+ruvLa1yKBJQjyEWPJBSdxonsgBx/NFGE4/hZtQ4RNl0nenZMeE4gEGqPV72n/hWoiYMqkXEj+oF0d/RrZgoM5JpCSkB4dC9dcbG27orvKx+TC3QDfTW0PpSrG/sbphi9ZO5T1UQlBBW3mmrFldXVQF44RPFj4IpJCpJN9L1dBLsPj03SzDeDOrAESnEEc22mMifrw/sEKI7qSiv93mgw5TxNpGtk0MPZ30jEpgl9701hm16KN+ru/+/oV6r/tM5ltWtGDXw8k/FHtQoJD8Pteq9ysRyoGl3llJe8fzvMCybXLJyHeG8UtUbuCqbnYpJOwnc981zApTWniobGkezUnM1fCwT/l/xDKP4a+dQbbCC3hVu+RKeoVfIBmdamJCDG2RXgZlSfFSY6A0H2n+Vq9y3pIlTvYEnzPJMbXFAsRj3J9EPKh0HeMs5SGgsIzZCW79ZYr2T632WVO+ESeOTD3AFFOgTmi1GzlHWYwOzZMWBXk/q9Cw0VEVlLowSKpLzoUZTf2aNyhOP6ie96+pJLKA1UGXlzEOP5EXnrjOSJRPMglg7fJYL2J01cKaMAiXFYnwCZJpkVzLagxCDgdHqUWos7hdPgc4dVcpQMgjKrQf+dZdSzhHczfWdjNy8kwQ9r7xzHTBdluUZMOejiSTTTto9T4qQVYqo4JSVnSj5VSaEtgg9dOpOu3Jr+szcBEPulefCL6EU0myR3jpk5qf1j37dB6r6lhY+WVMk8q5RoWSgdUTptpoFbruvDhzXwrUTurzRUmehhjBKgongp2GeFk9mrry40BrtYGEkUGFjdIx+SMiu63hfMnLb+N9jvNPUFTmWj7ukcRO47Rt9Nl92df31WXGbfC+LIOMeFnb00Z/caH+ZLMpmKGfNwKttJYsBpGdBmbDq20M+JYzlsORJQXNbITCnuPsJdAKO4y7ZkgtLu3i5mdapkNty58QUvvY3N698FwWwP6b/uWiWOkj3DZtkgsKkSNjnkSG93N2KzHMUav9BcQzSzGjGr6dNlJ5JnH1JK4BrbaXVbIRYf5km3G9izQEPkNLL2oZ9FNOjX305hgpReXi6cY1OWgaYjxmlA7s98bryvZv9PE27KXjrUV1/asOrJRGJR/nCx7tfEKmG0dEwpKbDmL1B2VfQHnTtVFcz5QVcUj7//d0ZEPCKpWGqjLx0nK85RReP/vRpihiIAxaqzcf1vK/tnSvLk1eCMWt8bhmadWIY8ilPlFTjElUt2OEnVaj9sAhX8ZUGkZERsEf0BTOpyFEtd+CBvp7JsVRdiDlJKy8kpGxt1/AuxTxGiKcz0B64xAQ0FJ+uTEvg7mmLKZQR2Fx+bUt9fVitpxEiM3RehW2pEZqvMqr7Nxee4l2lLwxvM24friy3sSADmmjuliLg9WDbJFVeIjcHukUOKzFbUA5TTxIgtlFObRGVU9C5LmYE21Spo56hHMnsdCOo2ESxIfb4rA4jWp54OHMdrvxMat9yMoqY6qvH2uEN9k/AzB2PiLzljbLIUpcRMIMHvzp15khXW+eyCrY+Gl7z23+NANBT6AbcPtPJBeXcUTKfUevTOYGdCw9Xzts+VLxmDtice9IkrwaIkjroZGPTShpr3vS3cKRUBJChLqkel+j+s8xWrpTU+YDB0lZZqJGUY9gVaRK+Ctr1f9xvCzz/7JXyO8lNKEE0b21xzVQhYuf70Iqw2bm17KARQMGcPcwSStNA/EkMYafawCXy5CgITJGcog9PlfM+sd8PWBkxwBUOOfuYWEB0DfTyqtbYTxW1KD9KrruKmO/RWXGfe5ejp+m02Qw9B3yX8/rQE1G7r3vYoxXs0Vmt0XfFApE3r+6w==
Variant 0
DifficultyLevel
650
Question
P, Q and R stand for three different numbers.
The average of P and Q is 30.
The average of Q and R is 45.
P + Q + R = 120
Calculate the values of P, Q and R.
Worked Solution
Test each statement:
|
|
Average 2P + Q |
= 30 |
P + Q |
= 60 |
∴ Eliminate first and third option:
|
|
Average 2Q + R |
= 45 |
Q + R |
= 90 |
∴ Eliminate second option:
=> P = 30, Q = 30, R = 60
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
correctAnswer | |
Answers