Answer:
32
Explanation:
Let x be "A number."
" . . . first subtracting 22 . . ." suggests the first thing that should be done:
x-22
" increased by 60%" means increse the number from above (x-22) by a factor of (1 + 0.60). This takes the number (x-22) and adds 60% (0.60) to it.
(x-22)*(1.6) = (1.6x - 35.2)
" . . . making it half the original size." half the original size is:
(1/2)x
Now put the two expressions together:
(1.6x - 35.2) = (1/2)x
1.6x - 35.2 = 0.5x
1.1x = 35.2
x = 32
"A number" is 32.
Check the answer:
1) Subtract 22: 32-22 = 10
2) Increase by 60%: 16
Is 16 half the original number of 32? YES