Given:

(a) A / B = 7/20

(b) A + B = 135

Let A = B * 7/20

Sub A = B * 7 into (b)

(B * 7/20) + B = 135

B * 27/20) = 135

B = 135/(27/20)

B = 100

Sub B = 100 into (a)

A / (100) = 7/20

A = 7/20 * 100

A = 35

Therefore, A equals 35 and B equals 100.

Check

LS

35/100 = 0.35

RS

7/20 = 0.35

(a) A / B = 7/20

(b) A + B = 135

Let A = B * 7/20

Sub A = B * 7 into (b)

(B * 7/20) + B = 135

B * 27/20) = 135

B = 135/(27/20)

B = 100

Sub B = 100 into (a)

A / (100) = 7/20

A = 7/20 * 100

A = 35

Therefore, A equals 35 and B equals 100.

Check

LS

35/100 = 0.35

RS

7/20 = 0.35