Question

the greater of two number is 12 more than the smaller and the sum of the two number is 10.find the number

Answer 1

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.

so your numbers are -1 and 11.