The sum of two numbers is 14.9 The larger number is 0.95 more than twice the smaller. What is the larger number?

Answer 1

The sum of two numbers is 14.9 The larger number is 0.95 more than twice the smaller. What is the larger number?

a = smaller number. b = larger number

14.9 = a + b 14.9 -0.95 = 13 95. 13.95/3 = 4.65. a = 4.65. b = 10.25

2a + 0.95 = b. 4.65 + 10.25 = 14.9

Substitution

14.9 = a + 2a + 0.95 2(4.65) + 0.95 = b

14.9 = 3a + 0.95 9.3 + 0.95 = b

14.9 - 0.95 = 3a 10.25 = b

13.95 = 3a

13.95/3 = 3a/3

4.65 = a

14.9 = 4.65 + b

14.9 - 4.65 = b

10.25 = b

Answer 2

Let a and b be the two numbers,

with b > a.

Given:

a + b = 14.9 AND b = a + 0.95

a + (a + 0.95) = 14.9 Using substitution

2a + 0.95 = 14.9 Simplify

2a = 13.95 Subtract 0.95 from both sides

a = 6.975 Divide both sides by 2

b = a + 0.95

b = 6.975 + 0.95

b = 7.925

Therefore: (a, b) = ( 6.975, 7.925)

The larger number is b = 7.925

CHECK:

a + b = 14.9

6.975 + 7.925 = 14.9 OK

CHECK:

b = a + 0.95

7.925 = 6.975 + 0.95

7.925 = 7.925 OK