Question 1151074
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(1) a typical solution using formal algebra....<br>
Huilan is 14 years older than Thomas:
t = Thomas's age
t+14 = Huilan's age<br>
The sum of their ages is 90:<br>
{{{(t)+(t+14) = 90}}}<br>
Solve using basic algebra....<br>
(2) Using much the same calculations, but informally....<br>
(a) Subtract 14 from Huilan's age; then the two are the same age, and the sum of their ages is 90-14 = 76.
(b) Divide by 2 to find that Thomas's age is 76/2 = 38.
(c) Add the 14 years back on to Huilan's age to find that his age is 38+14 = 52.<br>
ANSWER: Thomas is 38; Huilan is 52.<br>
Note that the problem only asks for Thomas's age, so we could stop after step (b).<br>