The sum of 2 numbers is 80 and the greater number excee

The sum of 2 numbers is 80 and the greater number excee
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The sum of 2 numbers is 80 and the greater number exceeds twice the smaller number by 11. Find the number

Please scroll down to see the correct answer and solution guide.

Right Answer is:

SOLUTION

Let us assume, x and y are the two numbers and
x > y

Given:

x + y = 80 -----------(1)

Also
given:

x =2y + 11 --------------(2)

Substitute
the value of x from equation 1 in equation 2

2y + 11 + y = 80

3y+ 11 = 80

3y= 69

y =
23

Therefore,
x = 2y + 11 = (2 * 23) + 11 = 57

The
two numbers are 57 and 23