Question

18. The product of two consecutive odd numbers is 10 more than the
square
of the smaller number. Find the smaller number.​

Answer 1

Solution:

Let the first odd number be x.

So, second odd number = x + 2.

According to the condition,

→ Product of two numbers = 10 + Square of smaller number.

→ x(x + 2) = 10 + x²

→ x² + 2x = 10 + x²

→ 2x = 10

→ x = 5

★ So, the smaller number is 5.

Answer:

• The smaller number is -5.

Answer 2

Answer:

5,7

Step-by-step explanation:

The numbers will be as follows : x,x+2

X(x+2)=10+(x²)

X²+2x=10+x²

2x=10

X=10/2

X=5

The other number will be x+2 = 7

Verify:

5(7)=10+5²

35=10+25

35=35

Hence verified

The numbers are 5 and 7