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Rafa concentrates better with a box on his head. He worked out that in 34 years he will be three times as old as he is now. How old is he now?

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Answer: CURRENTLY ------> RAFA is 17 Yrs. Old

HENCE, RAFA is CURRENTLY: SEVENTEEN (17) YEARS OLD.

  • Step-by-step explanation: MAKE A PLAN
  • Let RAFA'S CURRENT AGE be X:

We will create an EQUATION to REPRESENT the relationship between his current age and his age in THIRTY-FOUR (34) years.

  • SOLVE THE PROBLEM:
  • (1) - Write the equation for RAFAS AGE in THIRTY-FOUR (34) years:

X + 34

  • (2) - Write the equation for RAFAS AGE being THREE TIMES (3X) his CURRENT AGE in THIRTY-FOUR years.

X + 34 = 3X

  • SUBTRACT 3X FROM BOTH SIDES:

X + 34 - 3x = 0

  • NOW, COMBINE THE X, AND -3X, TO GET THE -2X:

X + 34 - 3X = 0

X - 3X = - 2X

  • NOW, WE SUBTRACT 34 FROM BOTH SIDES OF THE EQUATION:

- 2X + 34 = 0

- 34 = - 34

  • DIVIDE BOTH SIDES OF THE EQUATION BY - 2:

- 2X / - 2 = - 34 / -2

X = - 34 / - 2

X = 17

  • NOW, WE DIVIDE BOTH SIDES BY ( - 2X ) TO GET:

-2X / - 2 = - 34 / -2

  • DIVIDE - 34 BY - 2 TO GET 17:

Therefore, RAFAS AGE IS CURRENTLY

X = 17

  • DRAW THE CONCLUSION:

HENCE, RAFA is CURRENTLY: SEVENTEEN (17) YEARS OLD.

I hope this helps you!

User LCZ
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