Question

The sum of two numbers is 10. Three times the smaller exceeds the larger by 2. The smaller number is

Answer 1

3x÷2+x=10

4x÷2=10

4x=10÷2

4x=5

x=5/4

Answer 2

Answer:

The smaller number is a = 3 and b = 7.

Step-by-step explanation:

Given:

The sum of two numbers exists 10. Three times the smaller exceeds the larger by 2.

To find:

The smaller number is

Step 1

From the given information, we get

a + b = 10 ......(1)

3a = b + 2

3a - b = 2 ......(2)

On adding equation (1) and (2) we get

4a = 12

a =12/4

a = 3

Step 2

On equating, we get a = 3

From equation (1) we get

a + b = 10

3 + b = 10

then b = 10 - 3

b = 7

Therefore, the given smaller number is a = 3 and b = 7.

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