1f45 is subtracted from twice the greater of two numbers, it results in the other number. If 21 is subtracted from twice the smaller number, it results in the greater number. Find the numbers,
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1f45 is subtracted from twice the greater of two numbers, it results in the other number. If 21 is subtracted from twice the smaller number, it results in the greater number. Find the numbers,
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Question:-
If 45 is subtracted from twice the greater of two numbers, it results in the other number. If 21 is subtracted from twice the smaller number, it results in the greater number. Find the numbers?
_______________
Answer:-
Let the greater of two numbers be 'x' and smaller number be 'y'.
________________
Therefore,
as per question,
= 2x-45=y-------(1)
(and)
=2y-21=x------(2)
_________________________________
Substituting value of (2) in (1), we get,
= 2(2y-21)-45=y
=4y-42-45=y
=4y-y= 42+45
=3y=87
=y=29
________________________
Substituting value of y in equation (2) , we get,
= 2(29)-21=x
= x= 58-21
= x=37
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Therefore,
x=37 and y=29
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◩ Greater number = x = 37
◩ Smaller number = y = 29
Given that,
If we assume :
Greater number ➡ ‘x’
Smaller number ➡ ‘y’
Therefore,
A/q,
➡ 2x - 45 = y.......... (i)
➡ 2y - 21 = x...........(ii)
Using the substitution method :
❐ Procedure :
Substituting the value of ‘x’ in equation (i) :
After solving we get :
➡ y = 29 (Smaller number)
Substituting the value of ‘x’ in equation (i) :
➡ 2y - 21 = x
➡ 2(29) - 21 = x
➡ x = 58 - 21
➡ x = 37 (Greater number)
➪ Greater number
➪ Smaller number