Question

The sum of two numbers is 85 and the greater number exceeds twice the smaller number 10 find the greater number

Answer 1

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

Answer 2

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