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The sum of Nora's age and her grandmothers age is 71 four times Noras age is 6 less than the grandmothers age what are their ages?
Firstly, let's label Noras age and her Grandmothers age as x and y respectively.
This way, we can get 2 equations.
x+y = 71 (Equation 1)
4x+6 = y (Equation 2)
using simultaneous equations, and knowing the value of y (Equation 2), we can directly substitute Equation 2into (Equation 1). So:
x+(4x+6) = 71
Expand the brackets
5x+6 = 71
Subtract 6 from both sides
5x = 65
Divide both sides by 5
x = 13 [Noras age]
Substitute x=13 into Equation 1 or 2, to get the grandmothers age (I'll substitute it into Equation 1 because it's easier)
13+y=71
Subtract 13 from both sides
y = 58 [Grandmothers age]
Now, since it was a worded question, don't foget to write a worded answer, do not just leave the answer as 'x=13, y=58'.
Nora is 13 years old and Noras grandmother is 58 years old.
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