The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. What

Question

3 years ago

9

are the numbers?

1 answer:

Gekata [30.6K] · Answer 1 · 2022-08-28T13:08:30+03:00

Answer:

SMALLER NUMBER = 14

BIGGER NUMNER = 34

Step-by-step explanation:

Two equations can be derived from the question

a + 2b = 62 equation 1

3a - b = 116 equation 2

a = bigger number

b = smaller number

multiply equation 1 by 3

3a + 6b = 186 equation 3

subtract equation 2 from 3

5b = 70

b = 14

substitute for b in equation 1

a + 28 = 62

a = 34