Find two numbers whose difference is 5 and the difference of their squares is 65
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Step-by-step explanation:
Difference between two numbers is 5.
Let larger number be x
∴ Other smaller number =x−5
Also given that the difference between there squares is 65
∴(x)^2 - (x−5)^2
=65
⇒x^2 [x^2 + 25−10x]=65
⇒x^2 −x^2 −25+10x=65
⇒10x=90
∴x=9
∴ Larger number =x=9
.
Hope it helped. ☃️
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