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(the sum of two numbers is 85 and the greater number exceeds twice the smaller number by 10 . Find the greater number
Answers
Answer:-
smaller number is 25 and greater number is 60
Step-by-Step explanation:
let the smaller number be x
and greater number be y
According to 1st condition
The sum of the two numbers is 85
i.e. x + y = 85
According to 2nd condition
greater number exceeds twice the smaller number by 10
i.e. y = 2x + 10
by rearranging
2x - y = -10
adding both equation
x + y = 85
2x - y = -10
we get,
3x = 75
or x = 75/3
x = 25
now we also know that,
y = 2x + 10
y = 2 x 25 + 10
y = 50 + 10
y = 60
x = 25
y = 60
It will help you......
smaller number is 25 and greater number is 60
Your answer in steps
let the smaller number be x
and greater number be y
According to 1st condition
The sum of the two numbers is 85
i.e. x + y = 85
According to 2nd condition
greater number exceeds twice the smaller number by 10
i.e. y = 2x + 10
by rearranging
2x - y = -10
adding both equation
x + y = 85
2x - y = -10
we get,
3x = 75
or x = 75/3
x = 25
now we also know that,
y = 2x + 10
y = 2 x 25 + 10
y = 50 + 10
y = 60
x = 25
y = 60
HOPE SO IT WILL HELP....