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1) AA boyboy isis 1010 yearsyears olderolder thanthan hishis brother.brother. InIn 44 yearsyears hehe willwill bebe twicetwice asas oldold asas hishis brother.brother. FindFind thethe present
present ageage of of each.each.
22 1 4 1 4 22 44 1144 22 8 8 1 14 4 8 8 8 8 88 6 6 :: 1616,, :: 66 3)
3) PatPat isis 2020 yearsyears olderolder thanthan hishis sonson James.James. InIn twotwo yearsyears PatPat willwill bebe twicetwice asas oldold asas James.James. HowHow oldold are
are theythey now?now?
22 2222 22 22 2222 22 44 2 22 2 44 4 4 44 1 188 :: 3838,, :: 1818 5)
5) FredFred isis 44 yearsyears olderolder thanthan Barney.Barney. FiveFive yearsyears agoago thethe sumsum of of theirtheir agesages waswas 48.48. HowHow oldold areare theythey now? now? 4488 11 55 4848 2 6 4 8 2 6 4 8 6 6 66 2277 :: 3131,, :: 2727 7)
7) TimTim isis 55 yearsyears olderolder thanthan JoAnn.JoAnn. SixSix yearsyears fromfrom nownow thethe sumsum of of theirtheir agesages willwill bebe 79.79. HowHow oldold areare they
they now?now?
7799 1 1 1 1 66 7979 2 2 1177 7799 1 17 7 1717 3311 :: 336,6, :: 3131 Now Now +4+4 H H
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boyboy x+10x+10 x+14x+14 B B‐‐
Brother Brother xx x+4x+4 Now Now +2+2 P P x+20x+20 x+22x+22 JJ xx x+2x+2 Now Now 55 F F x+4x+4 xx‐‐
11 B B xx xx‐‐
55 Now Now +6+6 T T x+5x+5 x+11x+11 JJ xx x+6x+69) The sum of the ages of John and Mary is 32. Four years ago, John was twice as old as Mary. Find the present age of each.
2 4 228 4 56 2 2 2 3 4 5 6 4 4 20 : 20, : 12
11) The sum of the ages of a china plate and a glass plate is 16 years. Four years ago the china plate was three times the age of the glass plate. Find the present age of each plate.
3 4 312 4 36 3 3 3 4 4 3 6 4 4 10 : 10, : 6
13) A is now 34 years old, and B is 4 years old. In how many years will A be twice as old as B? 2 34 24 34 8 2 34 8 8 8 26
15) An Oriental rug is 52 years old and a Persian rug is 16 years old. How many years ago was the Oriental rug four times as old as the Persian Rug?
4 52 416 52 64 4 4 4 52 3 64 52 52 4 Now
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4 J x x‐
4 M 32‐
x 28‐
x Now‐
4 C x x‐
4 G 16‐
x 12‐
x Now +t A 34 34+t B 4 4+t Now‐
t O 52 52‐
t P 16 16‐
t17) The age of the older of two boys is twice that of the younger; 5 years ago it was three times that of the younger. Find the age of each.
3 2 5 3 5 2 5 3 15 2 2 5 1 5 15 15 10 : 20, : 10
19) Marge is twice as old as Consuelo. The sum of their ages seven years ago was 13. How old are they now? 13 2 7 7 13 3 14 13 14 14 9 : 18, : 9
21) A silver coin is 28 years older than a bronze coin. In 6 years, the silver coin will be twice as old as the bronze coin. Find the present age of each coin.
2 3 4 2 6 3 4 2 1 2 3 4 1 2 12 12 22 : 50, : 22
23) A limestone statue is 56 years older than a marble statue. In 12 years, the limestone will be three times as old as the marble statue. Find the present age of the statues.
3 6 8 3 12 68 3 36 68 2 36 36 36 1 6 : 72, : 16 Now
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5 O 2x 2x‐
5 Y x x‐
5 Now‐
7 M 2x 2x‐
7 C x x‐
7 Now +6 S x+28 x+34 B x x+6 Now +12 L x+56 x+68 M x x+1225) Brandon is 9 years older than Ronda. In four years the sum of their ages will be 91. How old are they now? 91 1 3 4 91 2 17 91 17 17 37 : 46, : 37
27) A father is three times as old as his son, and his daughter is 3 years younger than the son. If the sum of their ages 3 years ago was 63 years,find the present age of the father.
63 3 3 3 6 63 5 12 63 12 12 15 :45, 15, :12
29) The sum of the ages of two ships is 12 years. Two years ago, the age of the older ship was three times the age of the newer ship. Find the present age of each ship.
3 2 310 2 30 2 2 3 0 2 2 8 8 & 4
31) Ann is eighteen years older than her son. One year ago, she was three times as old as her son. How old are they now?
3 1 7 3 1 17 3 3 1 7 2 3 3 3 10 : 28, : 10 Now +4 B x+9 x+13 R x x+4 Now
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3 F 3x 3x‐
3 S x x‐
3 D x‐
3 x‐
6 Now‐
2 O x x‐
2 Y 12‐
x 10‐
x Now‐
1 A x+18 x+17 S x x‐
133) A mosaic is 74 years older than the engraving. Thirty years ago, the mosaic was three times as old as the engraving. Find the present age of each.
3 4 4 3 30 44 3 90 44 2 90 90 90 67 : 141, : 67
35) A wool tapestry is 32 years older than a linen tapestry. Twenty years ago, the wool tapestry was twice as old as the linen tapestry. Find the present age of each.
2 1 2 2 20 1 2 2 2 0 1 2 2 0 20 20 3 2 : 84, : 52
37) Nicole is 26 years old. Emma is 2 years old. In how many years will Nicole be triple Emma’s age? 3 2 6 32 26 6 3 2 6 6 2 6 6 10
39) Mike is 4 years older than Ron. In two years, the sum of their ages will be 84. How old are they now? 84 6 2 84 2 8 8 4 8 8 38 : 42, : 38 Now
