Question

6.

(a)
What number should be added to both numerator and denominator of the ratio 29 : 36 to make
it equal to 3:42​

Answer 1

-1110/39 is the number

Explanation:

We want to find the number should be added to both numerator and denominator of the ratio 29 : 36 to make it equal to 3:42

Let the number to be added be x.

Thus;

(29 + x) : (36 + x) = 3:42

The proportion symbol is essentialy a division symbol.

Thus;

(29 + x)/(36 + x) = 3/42

Cross multiply to give;

42(29 + x) = 3(36 + x)

1218 + 42x = 108 + 3x

1218 - 108 = 3x - 42x

1110 = - 39x

x = -1110/39