Q18 of 46 Page 175

The digit at the tens place of a two digit number is three times the digit at the units’ place. If the sum of this number and the number formed by reversing its digit is 88, find the number.

Let, the digit at unit’s place = x


∴ digit at ten’s place = 3x


∴ The two digit number = 10 × 3x + x = 31x


After reversing the digits,


Digit at unit’s place = 3x


Digit at ten’s place = x


∴ Number formed after reversing the digits = 10 × x + 3x = 13x


According to problem,


⇒ 31x + 13x = 88


⇒ 44x = 88


⇒ x = 2


∴ The two digit number = 31 × 2 = 62


More from this chapter

All 46 →
16

A steamer goes down stream and covers the distance between two ports in 4 hours while it covers the same distance up stream in 5 hours. If the speed of the steamer upstream is 2 km/hour, find the speed of steamer in still water.

 17

The numerator of the rational number is less than its denominator by 3. If the numerator becomes three times and the denominator is increased by 20, the new number becomes . Find the original number.

 19

The altitude of a triangle is five-thirds the length of its corresponding base. If the altitude is increased by 4 cm and the base decreased by 2 cm, the area of the triangle would remain the same. Find the base and altitude of the triangle.

 20

One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the other two angles of the triangle is 4 : 5, find the angles of the triangle.