Easy Squares and Square Root Problem
Algebra
Level
2
Ted's father is one-year-old bigger than her mother this year. The next year both the age of them multiplied will be the first time it reach 1000. What's the multiplied age of them both this year?
961
999
992
995
930
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The stating is very confusing but I eventually worked out that the two ages must be bigger than 1000 when multiplied. We can call the new ages x and x+1, multiplying these together we get x 2 + x and this must be more than a thousand. We can assume it equals a thousand and using the quadratic formula we get x=31.12672920173694. We need to round this up to 32. Therefore in a year the ages will be 32 and 33. This year they are 31 and 32, which multiplied together equals 992.