Question

EXERCISE 7 (B) 1. The greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10. Find the numbers.​

Answer 1

Step-by-step explanation:

Let the smaller number be X and the greater number be Y.

The greater number is 12 more than the smaller number.

=> Y = X + 12 — Eq1

Also, sum of the number is 10.

=> X + Y = 10 — Eq2.

Substitute Eq1 in Eq2 we get,

=> X + [X +12] = 10

=> X + X + 12 =10

=> 2X = 10–12

= 2X = -2

=> X = -1.

Substitute the value of X in Eq1 we get,

Y = -1+12 = 11.

Therefore the numbers are -1 and 11.

Answer 2

let the smaller number be x and the greater number be x+12

so, x+x+12 = 10

=> 2x+12= 10

=> 2x = 10-12

=> x = -2/2

=> x = -1

so the numbers are : -1 and 11