the sum of two numbers is 50 their difference between them is 20. Find the difference between their cubes
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ɢɪᴠᴇɴ:-
★ Sum of two numbers is = 50
★Their difference is = 20
ᴛᴏ ғɪɴᴅ:-
★ Difference between their cubes
sᴏʟᴜᴛɪᴏɴ:-
Let the numbers be a & b.
➠ According to the question _____⋆⋆
___ a + b = 50.......... (1)
___ a - b = 20 ............(2)
Now, solve both equations ___
↦a + b = 50
↦ a - b = 20
____________
↦2 a = 70
↦ a = 35
Put the value of x in eq ( 1)
a + b = 50
⟹ b = 15
Hence,
Difference between their cubes __
a^3 - b^3
= (35)^3 -(15)^3
= 39500
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answer 39500
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