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The sum of two numbers is 80. The greater number is (4 marks) 11 more than twice the smaller number. Find both the numbers.

Posted by Nupur Chaure 5 years, 6 months ago

CBSE > Class 07 > Mathematics

2 answers

G Yuvasri 5 years, 6 months ago

X+2x+11=80 3x+11=80 3x+11-11=80-11 3x=69 X=23

0Thank You

Yogita Ingle 5 years, 6 months ago

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

0Thank You

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CBSE > Class 07 > Mathematics